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Finding the Fourth Proportional to 159.98, 239.96 and 51.78

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Solution

The fourth proportional to 159.98, 239.96 and 51.78 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 239.96 = 51.78 : x
  2. Step 2: Convert to fraction form
    159.98/239.96 = 51.78/x
  3. Step 3: Cross multiply
    159.98x = 239.96 × 51.78
  4. Step 4: Simplify right side
    159.98x = 12,423.93
  5. Step 5: Solve for x
    x = 12,423.93/159.98
  6. Step 6: Final answer
    x = 77.66

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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.