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Finding the Fourth Proportional to 615.10, 922.74 and 204.14

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Solution

The fourth proportional to 615.10, 922.74 and 204.14 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.10 : 922.74 = 204.14 : x
  2. Step 2: Convert to fraction form
    615.10/922.74 = 204.14/x
  3. Step 3: Cross multiply
    615.10x = 922.74 × 204.14
  4. Step 4: Simplify right side
    615.10x = 188,370.45
  5. Step 5: Solve for x
    x = 188,370.45/615.10
  6. Step 6: Final answer
    x = 306.24

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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.