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Finding the Fourth Proportional to 229.15, 343.82 and 160.66

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Solution

The fourth proportional to 229.15, 343.82 and 160.66 is: 241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.15 : 343.82 = 160.66 : x
  2. Step 2: Convert to fraction form
    229.15/343.82 = 160.66/x
  3. Step 3: Cross multiply
    229.15x = 343.82 × 160.66
  4. Step 4: Simplify right side
    229.15x = 55,238.12
  5. Step 5: Solve for x
    x = 55,238.12/229.15
  6. Step 6: Final answer
    x = 241.06

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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.