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Finding the Fourth Proportional to 229.16, 343.27 and 107.53

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Solution

The fourth proportional to 229.16, 343.27 and 107.53 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 343.27 = 107.53 : x
  2. Step 2: Convert to fraction form
    229.16/343.27 = 107.53/x
  3. Step 3: Cross multiply
    229.16x = 343.27 × 107.53
  4. Step 4: Simplify right side
    229.16x = 36,911.10
  5. Step 5: Solve for x
    x = 36,911.10/229.16
  6. Step 6: Final answer
    x = 161.07

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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.