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Finding the Fourth Proportional to 175.97, 242.87 and 110.43

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Solution

The fourth proportional to 175.97, 242.87 and 110.43 is: 152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 242.87 = 110.43 : x
  2. Step 2: Convert to fraction form
    175.97/242.87 = 110.43/x
  3. Step 3: Cross multiply
    175.97x = 242.87 × 110.43
  4. Step 4: Simplify right side
    175.97x = 26,820.13
  5. Step 5: Solve for x
    x = 26,820.13/175.97
  6. Step 6: Final answer
    x = 152.41

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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.