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Finding the Fourth Proportional to 179.96, 269.82 and 98.84

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Solution

The fourth proportional to 179.96, 269.82 and 98.84 is: 148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 269.82 = 98.84 : x
  2. Step 2: Convert to fraction form
    179.96/269.82 = 98.84/x
  3. Step 3: Cross multiply
    179.96x = 269.82 × 98.84
  4. Step 4: Simplify right side
    179.96x = 26,669.01
  5. Step 5: Solve for x
    x = 26,669.01/179.96
  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.