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Finding the Fourth Proportional to 332.91, 499.17 and 113.42

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Solution

The fourth proportional to 332.91, 499.17 and 113.42 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.91 : 499.17 = 113.42 : x
  2. Step 2: Convert to fraction form
    332.91/499.17 = 113.42/x
  3. Step 3: Cross multiply
    332.91x = 499.17 × 113.42
  4. Step 4: Simplify right side
    332.91x = 56,618.02
  5. Step 5: Solve for x
    x = 56,618.02/332.91
  6. Step 6: Final answer
    x = 170.07

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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.