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Finding the Fourth Proportional to 425.13, 637.65 and 117.02

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Solution

The fourth proportional to 425.13, 637.65 and 117.02 is: 175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.13 : 637.65 = 117.02 : x
  2. Step 2: Convert to fraction form
    425.13/637.65 = 117.02/x
  3. Step 3: Cross multiply
    425.13x = 637.65 × 117.02
  4. Step 4: Simplify right side
    425.13x = 74,614.61
  5. Step 5: Solve for x
    x = 74,614.61/425.13
  6. Step 6: Final answer
    x = 175.51

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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.