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Finding the Fourth Proportional to 180, 269.76 and 99

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Solution

The fourth proportional to 180, 269.76 and 99 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 269.76 = 99 : x
  2. Step 2: Convert to fraction form
    180/269.76 = 99/x
  3. Step 3: Cross multiply
    180x = 269.76 × 99
  4. Step 4: Simplify right side
    180x = 26,706.24
  5. Step 5: Solve for x
    x = 26,706.24/180
  6. Step 6: Final answer
    x = 148.37

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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.