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Finding the Fourth Proportional to 159.98, 218.70 and 159.30

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Solution

The fourth proportional to 159.98, 218.70 and 159.30 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 218.70 = 159.30 : x
  2. Step 2: Convert to fraction form
    159.98/218.70 = 159.30/x
  3. Step 3: Cross multiply
    159.98x = 218.70 × 159.30
  4. Step 4: Simplify right side
    159.98x = 34,838.91
  5. Step 5: Solve for x
    x = 34,838.91/159.98
  6. Step 6: Final answer
    x = 217.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.