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Finding the Fourth Proportional to 174.73, 262.82 and 158.17

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Solution

The fourth proportional to 174.73, 262.82 and 158.17 is: 237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.73 : 262.82 = 158.17 : x
  2. Step 2: Convert to fraction form
    174.73/262.82 = 158.17/x
  3. Step 3: Cross multiply
    174.73x = 262.82 × 158.17
  4. Step 4: Simplify right side
    174.73x = 41,569.45
  5. Step 5: Solve for x
    x = 41,569.45/174.73
  6. Step 6: Final answer
    x = 237.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.