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Finding the Fourth Proportional to 174.87, 260.89 and 159.17

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Solution

The fourth proportional to 174.87, 260.89 and 159.17 is: 237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.87 : 260.89 = 159.17 : x
  2. Step 2: Convert to fraction form
    174.87/260.89 = 159.17/x
  3. Step 3: Cross multiply
    174.87x = 260.89 × 159.17
  4. Step 4: Simplify right side
    174.87x = 41,524.16
  5. Step 5: Solve for x
    x = 41,524.16/174.87
  6. Step 6: Final answer
    x = 237.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.