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Finding the Fourth Proportional to 180, 269.76 and 98.88

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Solution

The fourth proportional to 180, 269.76 and 98.88 is: 148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 269.76 = 98.88 : x
  2. Step 2: Convert to fraction form
    180/269.76 = 98.88/x
  3. Step 3: Cross multiply
    180x = 269.76 × 98.88
  4. Step 4: Simplify right side
    180x = 26,673.87
  5. Step 5: Solve for x
    x = 26,673.87/180
  6. Step 6: Final answer
    x = 148.19

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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.