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Finding the Fourth Proportional to 159.38, 238.59 and 137.64

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Solution

The fourth proportional to 159.38, 238.59 and 137.64 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.38 : 238.59 = 137.64 : x
  2. Step 2: Convert to fraction form
    159.38/238.59 = 137.64/x
  3. Step 3: Cross multiply
    159.38x = 238.59 × 137.64
  4. Step 4: Simplify right side
    159.38x = 32,839.53
  5. Step 5: Solve for x
    x = 32,839.53/159.38
  6. Step 6: Final answer
    x = 206.05

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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.