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Finding the Fourth Proportional to 179.48, 269.26 and 82.11

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Solution

The fourth proportional to 179.48, 269.26 and 82.11 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.48 : 269.26 = 82.11 : x
  2. Step 2: Convert to fraction form
    179.48/269.26 = 82.11/x
  3. Step 3: Cross multiply
    179.48x = 269.26 × 82.11
  4. Step 4: Simplify right side
    179.48x = 22,109.74
  5. Step 5: Solve for x
    x = 22,109.74/179.48
  6. Step 6: Final answer
    x = 123.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.