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Finding the Fourth Proportional to 175.87, 242.56 and 120.52

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Solution

The fourth proportional to 175.87, 242.56 and 120.52 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 242.56 = 120.52 : x
  2. Step 2: Convert to fraction form
    175.87/242.56 = 120.52/x
  3. Step 3: Cross multiply
    175.87x = 242.56 × 120.52
  4. Step 4: Simplify right side
    175.87x = 29,231.52
  5. Step 5: Solve for x
    x = 29,231.52/175.87
  6. Step 6: Final answer
    x = 166.22

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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.