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Finding the Fourth Proportional to 229.67, 345.16 and 214.08

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Solution

The fourth proportional to 229.67, 345.16 and 214.08 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.67 : 345.16 = 214.08 : x
  2. Step 2: Convert to fraction form
    229.67/345.16 = 214.08/x
  3. Step 3: Cross multiply
    229.67x = 345.16 × 214.08
  4. Step 4: Simplify right side
    229.67x = 73,891.85
  5. Step 5: Solve for x
    x = 73,891.85/229.67
  6. Step 6: Final answer
    x = 321.73

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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.