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Finding the Fourth Proportional to 616.11, 923.85 and 205.10

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Solution

The fourth proportional to 616.11, 923.85 and 205.10 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.11 : 923.85 = 205.10 : x
  2. Step 2: Convert to fraction form
    616.11/923.85 = 205.10/x
  3. Step 3: Cross multiply
    616.11x = 923.85 × 205.10
  4. Step 4: Simplify right side
    616.11x = 189,479.33
  5. Step 5: Solve for x
    x = 189,479.33/616.11
  6. Step 6: Final answer
    x = 307.54

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.