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Finding the Fourth Proportional to 180, 269.68 and 144

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Solution

The fourth proportional to 180, 269.68 and 144 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 269.68 = 144 : x
  2. Step 2: Convert to fraction form
    180/269.68 = 144/x
  3. Step 3: Cross multiply
    180x = 269.68 × 144
  4. Step 4: Simplify right side
    180x = 38,833.92
  5. Step 5: Solve for x
    x = 38,833.92/180
  6. Step 6: Final answer
    x = 215.74

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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.