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Finding the Fourth Proportional to 616.19, 923.92 and 205.22

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Solution

The fourth proportional to 616.19, 923.92 and 205.22 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.19 : 923.92 = 205.22 : x
  2. Step 2: Convert to fraction form
    616.19/923.92 = 205.22/x
  3. Step 3: Cross multiply
    616.19x = 923.92 × 205.22
  4. Step 4: Simplify right side
    616.19x = 189,604.62
  5. Step 5: Solve for x
    x = 189,604.62/616.19
  6. Step 6: Final answer
    x = 307.70

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Double scale
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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.