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Finding the Fourth Proportional to 178.16, 266.96 and 81.92

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Solution

The fourth proportional to 178.16, 266.96 and 81.92 is: 122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 266.96 = 81.92 : x
  2. Step 2: Convert to fraction form
    178.16/266.96 = 81.92/x
  3. Step 3: Cross multiply
    178.16x = 266.96 × 81.92
  4. Step 4: Simplify right side
    178.16x = 21,869.36
  5. Step 5: Solve for x
    x = 21,869.36/178.16
  6. Step 6: Final answer
    x = 122.75

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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.