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Finding the Fourth Proportional to 229.96, 345.32 and 143.46

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Solution

The fourth proportional to 229.96, 345.32 and 143.46 is: 215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 345.32 = 143.46 : x
  2. Step 2: Convert to fraction form
    229.96/345.32 = 143.46/x
  3. Step 3: Cross multiply
    229.96x = 345.32 × 143.46
  4. Step 4: Simplify right side
    229.96x = 49,539.61
  5. Step 5: Solve for x
    x = 49,539.61/229.96
  6. Step 6: Final answer
    x = 215.43

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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.