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Finding the Fourth Proportional to 614.13, 920.82 and 224.10

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Solution

The fourth proportional to 614.13, 920.82 and 224.10 is: 336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 920.82 = 224.10 : x
  2. Step 2: Convert to fraction form
    614.13/920.82 = 224.10/x
  3. Step 3: Cross multiply
    614.13x = 920.82 × 224.10
  4. Step 4: Simplify right side
    614.13x = 206,355.76
  5. Step 5: Solve for x
    x = 206,355.76/614.13
  6. Step 6: Final answer
    x = 336.01

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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.