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Finding the Fourth Proportional to 160.92, 239.61 and 158.61

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Solution

The fourth proportional to 160.92, 239.61 and 158.61 is: 236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.92 : 239.61 = 158.61 : x
  2. Step 2: Convert to fraction form
    160.92/239.61 = 158.61/x
  3. Step 3: Cross multiply
    160.92x = 239.61 × 158.61
  4. Step 4: Simplify right side
    160.92x = 38,004.54
  5. Step 5: Solve for x
    x = 38,004.54/160.92
  6. Step 6: Final answer
    x = 236.17

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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.