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Finding the Fourth Proportional to 230.66, 346.25 and 93.80

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Solution

The fourth proportional to 230.66, 346.25 and 93.80 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 346.25 = 93.80 : x
  2. Step 2: Convert to fraction form
    230.66/346.25 = 93.80/x
  3. Step 3: Cross multiply
    230.66x = 346.25 × 93.80
  4. Step 4: Simplify right side
    230.66x = 32,478.25
  5. Step 5: Solve for x
    x = 32,478.25/230.66
  6. Step 6: Final answer
    x = 140.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.