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Finding the Fourth Proportional to 185.59, 278.28 and 82.75

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Solution

The fourth proportional to 185.59, 278.28 and 82.75 is: 124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.59 : 278.28 = 82.75 : x
  2. Step 2: Convert to fraction form
    185.59/278.28 = 82.75/x
  3. Step 3: Cross multiply
    185.59x = 278.28 × 82.75
  4. Step 4: Simplify right side
    185.59x = 23,027.67
  5. Step 5: Solve for x
    x = 23,027.67/185.59
  6. Step 6: Final answer
    x = 124.08

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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.