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Finding the Fourth Proportional to 159.42, 221.13 and 152.70

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Solution

The fourth proportional to 159.42, 221.13 and 152.70 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 221.13 = 152.70 : x
  2. Step 2: Convert to fraction form
    159.42/221.13 = 152.70/x
  3. Step 3: Cross multiply
    159.42x = 221.13 × 152.70
  4. Step 4: Simplify right side
    159.42x = 33,765.79
  5. Step 5: Solve for x
    x = 33,765.79/159.42
  6. Step 6: Final answer
    x = 211.80

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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.