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Finding the Fourth Proportional to 242.66, 363.97 and 112.62

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Solution

The fourth proportional to 242.66, 363.97 and 112.62 is: 168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.66 : 363.97 = 112.62 : x
  2. Step 2: Convert to fraction form
    242.66/363.97 = 112.62/x
  3. Step 3: Cross multiply
    242.66x = 363.97 × 112.62
  4. Step 4: Simplify right side
    242.66x = 40,990.30
  5. Step 5: Solve for x
    x = 40,990.30/242.66
  6. Step 6: Final answer
    x = 168.92

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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.