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Finding the Fourth Proportional to 230.80, 346.06 and 76.71

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Solution

The fourth proportional to 230.80, 346.06 and 76.71 is: 115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 346.06 = 76.71 : x
  2. Step 2: Convert to fraction form
    230.80/346.06 = 76.71/x
  3. Step 3: Cross multiply
    230.80x = 346.06 × 76.71
  4. Step 4: Simplify right side
    230.80x = 26,546.26
  5. Step 5: Solve for x
    x = 26,546.26/230.80
  6. Step 6: Final answer
    x = 115.02

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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.