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Finding the Fourth Proportional to 230.20, 345.20 and 108.32

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Solution

The fourth proportional to 230.20, 345.20 and 108.32 is: 162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.20 : 345.20 = 108.32 : x
  2. Step 2: Convert to fraction form
    230.20/345.20 = 108.32/x
  3. Step 3: Cross multiply
    230.20x = 345.20 × 108.32
  4. Step 4: Simplify right side
    230.20x = 37,392.06
  5. Step 5: Solve for x
    x = 37,392.06/230.20
  6. Step 6: Final answer
    x = 162.43

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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.