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Finding the Fourth Proportional to 185.20, 277.50 and 76.96

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Solution

The fourth proportional to 185.20, 277.50 and 76.96 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 277.50 = 76.96 : x
  2. Step 2: Convert to fraction form
    185.20/277.50 = 76.96/x
  3. Step 3: Cross multiply
    185.20x = 277.50 × 76.96
  4. Step 4: Simplify right side
    185.20x = 21,356.40
  5. Step 5: Solve for x
    x = 21,356.40/185.20
  6. Step 6: Final answer
    x = 115.32

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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.