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Finding the Fourth Proportional to 159.48, 221.11 and 157.20

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Solution

The fourth proportional to 159.48, 221.11 and 157.20 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 221.11 = 157.20 : x
  2. Step 2: Convert to fraction form
    159.48/221.11 = 157.20/x
  3. Step 3: Cross multiply
    159.48x = 221.11 × 157.20
  4. Step 4: Simplify right side
    159.48x = 34,758.49
  5. Step 5: Solve for x
    x = 34,758.49/159.48
  6. Step 6: Final answer
    x = 217.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.