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Finding the Fourth Proportional to 175.97, 243.15 and 126.76

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Solution

The fourth proportional to 175.97, 243.15 and 126.76 is: 175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 243.15 = 126.76 : x
  2. Step 2: Convert to fraction form
    175.97/243.15 = 126.76/x
  3. Step 3: Cross multiply
    175.97x = 243.15 × 126.76
  4. Step 4: Simplify right side
    175.97x = 30,821.69
  5. Step 5: Solve for x
    x = 30,821.69/175.97
  6. Step 6: Final answer
    x = 175.15

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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.