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Finding the Fourth Proportional to 159.78, 238.45 and 132.78

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Solution

The fourth proportional to 159.78, 238.45 and 132.78 is: 198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.78 : 238.45 = 132.78 : x
  2. Step 2: Convert to fraction form
    159.78/238.45 = 132.78/x
  3. Step 3: Cross multiply
    159.78x = 238.45 × 132.78
  4. Step 4: Simplify right side
    159.78x = 31,661.39
  5. Step 5: Solve for x
    x = 31,661.39/159.78
  6. Step 6: Final answer
    x = 198.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.