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Finding the Fourth Proportional to 402.79, 604.37 and 125.18

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Solution

The fourth proportional to 402.79, 604.37 and 125.18 is: 187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.79 : 604.37 = 125.18 : x
  2. Step 2: Convert to fraction form
    402.79/604.37 = 125.18/x
  3. Step 3: Cross multiply
    402.79x = 604.37 × 125.18
  4. Step 4: Simplify right side
    402.79x = 75,656.92
  5. Step 5: Solve for x
    x = 75,656.92/402.79
  6. Step 6: Final answer
    x = 187.83

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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.