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Finding the Fourth Proportional to 242.43, 334.56 and 149.14

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Solution

The fourth proportional to 242.43, 334.56 and 149.14 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.43 : 334.56 = 149.14 : x
  2. Step 2: Convert to fraction form
    242.43/334.56 = 149.14/x
  3. Step 3: Cross multiply
    242.43x = 334.56 × 149.14
  4. Step 4: Simplify right side
    242.43x = 49,896.28
  5. Step 5: Solve for x
    x = 49,896.28/242.43
  6. Step 6: Final answer
    x = 205.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.