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Finding the Fourth Proportional to 229.11, 341.68 and 216.96

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Solution

The fourth proportional to 229.11, 341.68 and 216.96 is: 323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.11 : 341.68 = 216.96 : x
  2. Step 2: Convert to fraction form
    229.11/341.68 = 216.96/x
  3. Step 3: Cross multiply
    229.11x = 341.68 × 216.96
  4. Step 4: Simplify right side
    229.11x = 74,129.81
  5. Step 5: Solve for x
    x = 74,129.81/229.11
  6. Step 6: Final answer
    x = 323.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.