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Finding the Fourth Proportional to 153.82, 230.78 and 76.80

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Solution

The fourth proportional to 153.82, 230.78 and 76.80 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 230.78 = 76.80 : x
  2. Step 2: Convert to fraction form
    153.82/230.78 = 76.80/x
  3. Step 3: Cross multiply
    153.82x = 230.78 × 76.80
  4. Step 4: Simplify right side
    153.82x = 17,724.96
  5. Step 5: Solve for x
    x = 17,724.96/153.82
  6. Step 6: Final answer
    x = 115.23

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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.