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Finding the Fourth Proportional to 159.24, 239.04 and 118.80

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Solution

The fourth proportional to 159.24, 239.04 and 118.80 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 239.04 = 118.80 : x
  2. Step 2: Convert to fraction form
    159.24/239.04 = 118.80/x
  3. Step 3: Cross multiply
    159.24x = 239.04 × 118.80
  4. Step 4: Simplify right side
    159.24x = 28,397.95
  5. Step 5: Solve for x
    x = 28,397.95/159.24
  6. Step 6: Final answer
    x = 178.33

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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.