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Finding the Fourth Proportional to 242.74, 363.82 and 112.57

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Solution

The fourth proportional to 242.74, 363.82 and 112.57 is: 168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.74 : 363.82 = 112.57 : x
  2. Step 2: Convert to fraction form
    242.74/363.82 = 112.57/x
  3. Step 3: Cross multiply
    242.74x = 363.82 × 112.57
  4. Step 4: Simplify right side
    242.74x = 40,953.40
  5. Step 5: Solve for x
    x = 40,953.40/242.74
  6. Step 6: Final answer
    x = 168.71

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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.