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Finding the Fourth Proportional to 179.53, 268.89 and 147.13

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Solution

The fourth proportional to 179.53, 268.89 and 147.13 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.53 : 268.89 = 147.13 : x
  2. Step 2: Convert to fraction form
    179.53/268.89 = 147.13/x
  3. Step 3: Cross multiply
    179.53x = 268.89 × 147.13
  4. Step 4: Simplify right side
    179.53x = 39,560.56
  5. Step 5: Solve for x
    x = 39,560.56/179.53
  6. Step 6: Final answer
    x = 220.36

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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.