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Finding the Fourth Proportional to 242.27, 334.31 and 149.16

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Solution

The fourth proportional to 242.27, 334.31 and 149.16 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.27 : 334.31 = 149.16 : x
  2. Step 2: Convert to fraction form
    242.27/334.31 = 149.16/x
  3. Step 3: Cross multiply
    242.27x = 334.31 × 149.16
  4. Step 4: Simplify right side
    242.27x = 49,864.93
  5. Step 5: Solve for x
    x = 49,864.93/242.27
  6. Step 6: Final answer
    x = 205.83

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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.