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Finding the Fourth Proportional to 179.48, 269.22 and 82.13

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Solution

The fourth proportional to 179.48, 269.22 and 82.13 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.48 : 269.22 = 82.13 : x
  2. Step 2: Convert to fraction form
    179.48/269.22 = 82.13/x
  3. Step 3: Cross multiply
    179.48x = 269.22 × 82.13
  4. Step 4: Simplify right side
    179.48x = 22,111.04
  5. Step 5: Solve for x
    x = 22,111.04/179.48
  6. Step 6: Final answer
    x = 123.20

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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.