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Finding the Fourth Proportional to 402.35, 603.54 and 113.81

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Solution

The fourth proportional to 402.35, 603.54 and 113.81 is: 170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.35 : 603.54 = 113.81 : x
  2. Step 2: Convert to fraction form
    402.35/603.54 = 113.81/x
  3. Step 3: Cross multiply
    402.35x = 603.54 × 113.81
  4. Step 4: Simplify right side
    402.35x = 68,685.87
  5. Step 5: Solve for x
    x = 68,685.87/402.35
  6. Step 6: Final answer
    x = 170.71

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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.