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Finding the Fourth Proportional to 229.80, 344.82 and 108.12

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Solution

The fourth proportional to 229.80, 344.82 and 108.12 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 344.82 = 108.12 : x
  2. Step 2: Convert to fraction form
    229.80/344.82 = 108.12/x
  3. Step 3: Cross multiply
    229.80x = 344.82 × 108.12
  4. Step 4: Simplify right side
    229.80x = 37,281.94
  5. Step 5: Solve for x
    x = 37,281.94/229.80
  6. Step 6: Final answer
    x = 162.24

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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.