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Finding the Fourth Proportional to 159.28, 238.74 and 140.02

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Solution

The fourth proportional to 159.28, 238.74 and 140.02 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 238.74 = 140.02 : x
  2. Step 2: Convert to fraction form
    159.28/238.74 = 140.02/x
  3. Step 3: Cross multiply
    159.28x = 238.74 × 140.02
  4. Step 4: Simplify right side
    159.28x = 33,428.37
  5. Step 5: Solve for x
    x = 33,428.37/159.28
  6. Step 6: Final answer
    x = 209.87

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Why These Related Problems?

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