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Finding the Fourth Proportional to 268.53, 402.96 and 187.23

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Solution

The fourth proportional to 268.53, 402.96 and 187.23 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.53 : 402.96 = 187.23 : x
  2. Step 2: Convert to fraction form
    268.53/402.96 = 187.23/x
  3. Step 3: Cross multiply
    268.53x = 402.96 × 187.23
  4. Step 4: Simplify right side
    268.53x = 75,446.20
  5. Step 5: Solve for x
    x = 75,446.20/268.53
  6. Step 6: Final answer
    x = 280.96

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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.