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Finding the Fourth Proportional to 178.76, 268.19 and 82.64

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Solution

The fourth proportional to 178.76, 268.19 and 82.64 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.76 : 268.19 = 82.64 : x
  2. Step 2: Convert to fraction form
    178.76/268.19 = 82.64/x
  3. Step 3: Cross multiply
    178.76x = 268.19 × 82.64
  4. Step 4: Simplify right side
    178.76x = 22,161.47
  5. Step 5: Solve for x
    x = 22,161.47/178.76
  6. Step 6: Final answer
    x = 123.98

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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.