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Finding the Fourth Proportional to 268.62, 404.15 and 160.49

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Solution

The fourth proportional to 268.62, 404.15 and 160.49 is: 241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.62 : 404.15 = 160.49 : x
  2. Step 2: Convert to fraction form
    268.62/404.15 = 160.49/x
  3. Step 3: Cross multiply
    268.62x = 404.15 × 160.49
  4. Step 4: Simplify right side
    268.62x = 64,862.03
  5. Step 5: Solve for x
    x = 64,862.03/268.62
  6. Step 6: Final answer
    x = 241.46

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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.