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Finding the Fourth Proportional to 179.50, 268.98 and 133.66

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Solution

The fourth proportional to 179.50, 268.98 and 133.66 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.50 : 268.98 = 133.66 : x
  2. Step 2: Convert to fraction form
    179.50/268.98 = 133.66/x
  3. Step 3: Cross multiply
    179.50x = 268.98 × 133.66
  4. Step 4: Simplify right side
    179.50x = 35,951.87
  5. Step 5: Solve for x
    x = 35,951.87/179.50
  6. Step 6: Final answer
    x = 200.29

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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.