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Finding the Fourth Proportional to 179.82, 269.35 and 88.25

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Solution

The fourth proportional to 179.82, 269.35 and 88.25 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.82 : 269.35 = 88.25 : x
  2. Step 2: Convert to fraction form
    179.82/269.35 = 88.25/x
  3. Step 3: Cross multiply
    179.82x = 269.35 × 88.25
  4. Step 4: Simplify right side
    179.82x = 23,768.57
  5. Step 5: Solve for x
    x = 23,768.57/179.82
  6. Step 6: Final answer
    x = 132.18

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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.