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Finding the Fourth Proportional to 269.47, 371.62 and 176.12

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Solution

The fourth proportional to 269.47, 371.62 and 176.12 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.47 : 371.62 = 176.12 : x
  2. Step 2: Convert to fraction form
    269.47/371.62 = 176.12/x
  3. Step 3: Cross multiply
    269.47x = 371.62 × 176.12
  4. Step 4: Simplify right side
    269.47x = 65,449.71
  5. Step 5: Solve for x
    x = 65,449.71/269.47
  6. Step 6: Final answer
    x = 242.88

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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.