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Finding the Fourth Proportional to 230.85, 346.24 and 76.77

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Solution

The fourth proportional to 230.85, 346.24 and 76.77 is: 115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 346.24 = 76.77 : x
  2. Step 2: Convert to fraction form
    230.85/346.24 = 76.77/x
  3. Step 3: Cross multiply
    230.85x = 346.24 × 76.77
  4. Step 4: Simplify right side
    230.85x = 26,580.94
  5. Step 5: Solve for x
    x = 26,580.94/230.85
  6. Step 6: Final answer
    x = 115.14

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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.