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Finding the Fourth Proportional to 179.98, 269.97 and 64.44

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Solution

The fourth proportional to 179.98, 269.97 and 64.44 is: 96.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.98 : 269.97 = 64.44 : x
  2. Step 2: Convert to fraction form
    179.98/269.97 = 64.44/x
  3. Step 3: Cross multiply
    179.98x = 269.97 × 64.44
  4. Step 4: Simplify right side
    179.98x = 17,396.87
  5. Step 5: Solve for x
    x = 17,396.87/179.98
  6. Step 6: Final answer
    x = 96.66

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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.