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Finding the Fourth Proportional to 230.08, 345.46 and 93.39

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Solution

The fourth proportional to 230.08, 345.46 and 93.39 is: 140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.08 : 345.46 = 93.39 : x
  2. Step 2: Convert to fraction form
    230.08/345.46 = 93.39/x
  3. Step 3: Cross multiply
    230.08x = 345.46 × 93.39
  4. Step 4: Simplify right side
    230.08x = 32,262.55
  5. Step 5: Solve for x
    x = 32,262.55/230.08
  6. Step 6: Final answer
    x = 140.22

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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.