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Finding the Fourth Proportional to 159.31, 237.70 and 132.31

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Solution

The fourth proportional to 159.31, 237.70 and 132.31 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.31 : 237.70 = 132.31 : x
  2. Step 2: Convert to fraction form
    159.31/237.70 = 132.31/x
  3. Step 3: Cross multiply
    159.31x = 237.70 × 132.31
  4. Step 4: Simplify right side
    159.31x = 31,450.09
  5. Step 5: Solve for x
    x = 31,450.09/159.31
  6. Step 6: Final answer
    x = 197.41

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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.