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Finding the Fourth Proportional to 247.46, 341.52 and 149.14

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Solution

The fourth proportional to 247.46, 341.52 and 149.14 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.46 : 341.52 = 149.14 : x
  2. Step 2: Convert to fraction form
    247.46/341.52 = 149.14/x
  3. Step 3: Cross multiply
    247.46x = 341.52 × 149.14
  4. Step 4: Simplify right side
    247.46x = 50,934.16
  5. Step 5: Solve for x
    x = 50,934.16/247.46
  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.