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Finding the Fourth Proportional to 215.60, 323.39 and 76.78

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Solution

The fourth proportional to 215.60, 323.39 and 76.78 is: 115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.60 : 323.39 = 76.78 : x
  2. Step 2: Convert to fraction form
    215.60/323.39 = 76.78/x
  3. Step 3: Cross multiply
    215.60x = 323.39 × 76.78
  4. Step 4: Simplify right side
    215.60x = 24,830.48
  5. Step 5: Solve for x
    x = 24,830.48/215.60
  6. Step 6: Final answer
    x = 115.17

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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.