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Finding the Fourth Proportional to 159.84, 221.76 and 158.16

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Solution

The fourth proportional to 159.84, 221.76 and 158.16 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 221.76 = 158.16 : x
  2. Step 2: Convert to fraction form
    159.84/221.76 = 158.16/x
  3. Step 3: Cross multiply
    159.84x = 221.76 × 158.16
  4. Step 4: Simplify right side
    159.84x = 35,073.56
  5. Step 5: Solve for x
    x = 35,073.56/159.84
  6. Step 6: Final answer
    x = 219.43

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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.