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Finding the Fourth Proportional to 160.38, 239.63 and 158.94

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Solution

The fourth proportional to 160.38, 239.63 and 158.94 is: 237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.38 : 239.63 = 158.94 : x
  2. Step 2: Convert to fraction form
    160.38/239.63 = 158.94/x
  3. Step 3: Cross multiply
    160.38x = 239.63 × 158.94
  4. Step 4: Simplify right side
    160.38x = 38,086.00
  5. Step 5: Solve for x
    x = 38,086.00/160.38
  6. Step 6: Final answer
    x = 237.47

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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.