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Finding the Fourth Proportional to 229.89, 344.90 and 108.30

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Solution

The fourth proportional to 229.89, 344.90 and 108.30 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.89 : 344.90 = 108.30 : x
  2. Step 2: Convert to fraction form
    229.89/344.90 = 108.30/x
  3. Step 3: Cross multiply
    229.89x = 344.90 × 108.30
  4. Step 4: Simplify right side
    229.89x = 37,352.67
  5. Step 5: Solve for x
    x = 37,352.67/229.89
  6. Step 6: Final answer
    x = 162.48

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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.