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Finding the Fourth Proportional to 179.12, 269.22 and 143.48

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Solution

The fourth proportional to 179.12, 269.22 and 143.48 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.12 : 269.22 = 143.48 : x
  2. Step 2: Convert to fraction form
    179.12/269.22 = 143.48/x
  3. Step 3: Cross multiply
    179.12x = 269.22 × 143.48
  4. Step 4: Simplify right side
    179.12x = 38,627.69
  5. Step 5: Solve for x
    x = 38,627.69/179.12
  6. Step 6: Final answer
    x = 215.65

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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.