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Finding the Fourth Proportional to 159.64, 238.90 and 138.24

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Solution

The fourth proportional to 159.64, 238.90 and 138.24 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 238.90 = 138.24 : x
  2. Step 2: Convert to fraction form
    159.64/238.90 = 138.24/x
  3. Step 3: Cross multiply
    159.64x = 238.90 × 138.24
  4. Step 4: Simplify right side
    159.64x = 33,025.54
  5. Step 5: Solve for x
    x = 33,025.54/159.64
  6. Step 6: Final answer
    x = 206.88

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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.