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Finding the Fourth Proportional to 242.60, 364.31 and 240.71

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Solution

The fourth proportional to 242.60, 364.31 and 240.71 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.60 : 364.31 = 240.71 : x
  2. Step 2: Convert to fraction form
    242.60/364.31 = 240.71/x
  3. Step 3: Cross multiply
    242.60x = 364.31 × 240.71
  4. Step 4: Simplify right side
    242.60x = 87,691.40
  5. Step 5: Solve for x
    x = 87,691.40/242.60
  6. Step 6: Final answer
    x = 361.47

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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.