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Finding the Fourth Proportional to 268.50, 402.36 and 187.86

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Solution

The fourth proportional to 268.50, 402.36 and 187.86 is: 281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.50 : 402.36 = 187.86 : x
  2. Step 2: Convert to fraction form
    268.50/402.36 = 187.86/x
  3. Step 3: Cross multiply
    268.50x = 402.36 × 187.86
  4. Step 4: Simplify right side
    268.50x = 75,587.35
  5. Step 5: Solve for x
    x = 75,587.35/268.50
  6. Step 6: Final answer
    x = 281.52

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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.