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Finding the Fourth Proportional to 179.80, 269.49 and 83.50

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Solution

The fourth proportional to 179.80, 269.49 and 83.50 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.80 : 269.49 = 83.50 : x
  2. Step 2: Convert to fraction form
    179.80/269.49 = 83.50/x
  3. Step 3: Cross multiply
    179.80x = 269.49 × 83.50
  4. Step 4: Simplify right side
    179.80x = 22,502.42
  5. Step 5: Solve for x
    x = 22,502.42/179.80
  6. Step 6: Final answer
    x = 125.15

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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.