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Finding the Fourth Proportional to 179.66, 269.41 and 88.25

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Solution

The fourth proportional to 179.66, 269.41 and 88.25 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 269.41 = 88.25 : x
  2. Step 2: Convert to fraction form
    179.66/269.41 = 88.25/x
  3. Step 3: Cross multiply
    179.66x = 269.41 × 88.25
  4. Step 4: Simplify right side
    179.66x = 23,775.43
  5. Step 5: Solve for x
    x = 23,775.43/179.66
  6. Step 6: Final answer
    x = 132.34

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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.