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Finding the Fourth Proportional to 180.29, 269.88 and 98.89

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Solution

The fourth proportional to 180.29, 269.88 and 98.89 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 269.88 = 98.89 : x
  2. Step 2: Convert to fraction form
    180.29/269.88 = 98.89/x
  3. Step 3: Cross multiply
    180.29x = 269.88 × 98.89
  4. Step 4: Simplify right side
    180.29x = 26,688.43
  5. Step 5: Solve for x
    x = 26,688.43/180.29
  6. Step 6: Final answer
    x = 148.03

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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.