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Finding the Fourth Proportional to 230.63, 346.13 and 93.77

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Solution

The fourth proportional to 230.63, 346.13 and 93.77 is: 140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.63 : 346.13 = 93.77 : x
  2. Step 2: Convert to fraction form
    230.63/346.13 = 93.77/x
  3. Step 3: Cross multiply
    230.63x = 346.13 × 93.77
  4. Step 4: Simplify right side
    230.63x = 32,456.14
  5. Step 5: Solve for x
    x = 32,456.14/230.63
  6. Step 6: Final answer
    x = 140.73

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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.