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Finding the Fourth Proportional to 269.81, 404.90 and 107.53

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Solution

The fourth proportional to 269.81, 404.90 and 107.53 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.81 : 404.90 = 107.53 : x
  2. Step 2: Convert to fraction form
    269.81/404.90 = 107.53/x
  3. Step 3: Cross multiply
    269.81x = 404.90 × 107.53
  4. Step 4: Simplify right side
    269.81x = 43,538.15
  5. Step 5: Solve for x
    x = 43,538.15/269.81
  6. Step 6: Final answer
    x = 161.37

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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.