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Finding the Fourth Proportional to 425.40, 637.86 and 151.46

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Solution

The fourth proportional to 425.40, 637.86 and 151.46 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 637.86 = 151.46 : x
  2. Step 2: Convert to fraction form
    425.40/637.86 = 151.46/x
  3. Step 3: Cross multiply
    425.40x = 637.86 × 151.46
  4. Step 4: Simplify right side
    425.40x = 96,610.28
  5. Step 5: Solve for x
    x = 96,610.28/425.40
  6. Step 6: Final answer
    x = 227.10

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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.