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Finding the Fourth Proportional to 159.20, 237.52 and 137.44

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Solution

The fourth proportional to 159.20, 237.52 and 137.44 is: 205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 237.52 = 137.44 : x
  2. Step 2: Convert to fraction form
    159.20/237.52 = 137.44/x
  3. Step 3: Cross multiply
    159.20x = 237.52 × 137.44
  4. Step 4: Simplify right side
    159.20x = 32,644.75
  5. Step 5: Solve for x
    x = 32,644.75/159.20
  6. Step 6: Final answer
    x = 205.05

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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.