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Finding the Fourth Proportional to 230.85, 346.01 and 107.32

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Solution

The fourth proportional to 230.85, 346.01 and 107.32 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 346.01 = 107.32 : x
  2. Step 2: Convert to fraction form
    230.85/346.01 = 107.32/x
  3. Step 3: Cross multiply
    230.85x = 346.01 × 107.32
  4. Step 4: Simplify right side
    230.85x = 37,133.79
  5. Step 5: Solve for x
    x = 37,133.79/230.85
  6. Step 6: Final answer
    x = 160.86

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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.