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Finding the Fourth Proportional to 178.89, 268.13 and 82.50

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Solution

The fourth proportional to 178.89, 268.13 and 82.50 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.89 : 268.13 = 82.50 : x
  2. Step 2: Convert to fraction form
    178.89/268.13 = 82.50/x
  3. Step 3: Cross multiply
    178.89x = 268.13 × 82.50
  4. Step 4: Simplify right side
    178.89x = 22,120.73
  5. Step 5: Solve for x
    x = 22,120.73/178.89
  6. Step 6: Final answer
    x = 123.66

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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.