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Finding the Fourth Proportional to 158.38, 237.71 and 121.48

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Solution

The fourth proportional to 158.38, 237.71 and 121.48 is: 182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.38 : 237.71 = 121.48 : x
  2. Step 2: Convert to fraction form
    158.38/237.71 = 121.48/x
  3. Step 3: Cross multiply
    158.38x = 237.71 × 121.48
  4. Step 4: Simplify right side
    158.38x = 28,876.72
  5. Step 5: Solve for x
    x = 28,876.72/158.38
  6. Step 6: Final answer
    x = 182.33

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