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Finding the Fourth Proportional to 178.86, 268.36 and 82.64

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Solution

The fourth proportional to 178.86, 268.36 and 82.64 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 268.36 = 82.64 : x
  2. Step 2: Convert to fraction form
    178.86/268.36 = 82.64/x
  3. Step 3: Cross multiply
    178.86x = 268.36 × 82.64
  4. Step 4: Simplify right side
    178.86x = 22,177.27
  5. Step 5: Solve for x
    x = 22,177.27/178.86
  6. Step 6: Final answer
    x = 123.99

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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.