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Finding the Fourth Proportional to 269.64, 404.61 and 113.45

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Solution

The fourth proportional to 269.64, 404.61 and 113.45 is: 170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 404.61 = 113.45 : x
  2. Step 2: Convert to fraction form
    269.64/404.61 = 113.45/x
  3. Step 3: Cross multiply
    269.64x = 404.61 × 113.45
  4. Step 4: Simplify right side
    269.64x = 45,900.98
  5. Step 5: Solve for x
    x = 45,900.98/269.64
  6. Step 6: Final answer
    x = 170.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.