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Finding the Fourth Proportional to 159.68, 239.68 and 132.80

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Solution

The fourth proportional to 159.68, 239.68 and 132.80 is: 199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 239.68 = 132.80 : x
  2. Step 2: Convert to fraction form
    159.68/239.68 = 132.80/x
  3. Step 3: Cross multiply
    159.68x = 239.68 × 132.80
  4. Step 4: Simplify right side
    159.68x = 31,829.50
  5. Step 5: Solve for x
    x = 31,829.50/159.68
  6. Step 6: Final answer
    x = 199.33

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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.