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Finding the Fourth Proportional to 179.48, 269.37 and 178.13

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Solution

The fourth proportional to 179.48, 269.37 and 178.13 is: 267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.48 : 269.37 = 178.13 : x
  2. Step 2: Convert to fraction form
    179.48/269.37 = 178.13/x
  3. Step 3: Cross multiply
    179.48x = 269.37 × 178.13
  4. Step 4: Simplify right side
    179.48x = 47,982.88
  5. Step 5: Solve for x
    x = 47,982.88/179.48
  6. Step 6: Final answer
    x = 267.34

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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.