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Finding the Fourth Proportional to 178.77, 268.15 and 63.22

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Solution

The fourth proportional to 178.77, 268.15 and 63.22 is: 94.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 268.15 = 63.22 : x
  2. Step 2: Convert to fraction form
    178.77/268.15 = 63.22/x
  3. Step 3: Cross multiply
    178.77x = 268.15 × 63.22
  4. Step 4: Simplify right side
    178.77x = 16,952.44
  5. Step 5: Solve for x
    x = 16,952.44/178.77
  6. Step 6: Final answer
    x = 94.83

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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.