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Finding the Fourth Proportional to 178.56, 268.08 and 82.44

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Solution

The fourth proportional to 178.56, 268.08 and 82.44 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 268.08 = 82.44 : x
  2. Step 2: Convert to fraction form
    178.56/268.08 = 82.44/x
  3. Step 3: Cross multiply
    178.56x = 268.08 × 82.44
  4. Step 4: Simplify right side
    178.56x = 22,100.52
  5. Step 5: Solve for x
    x = 22,100.52/178.56
  6. Step 6: Final answer
    x = 123.77

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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.