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Finding the Fourth Proportional to 230.31, 343.71 and 207.27

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Solution

The fourth proportional to 230.31, 343.71 and 207.27 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.31 : 343.71 = 207.27 : x
  2. Step 2: Convert to fraction form
    230.31/343.71 = 207.27/x
  3. Step 3: Cross multiply
    230.31x = 343.71 × 207.27
  4. Step 4: Simplify right side
    230.31x = 71,240.77
  5. Step 5: Solve for x
    x = 71,240.77/230.31
  6. Step 6: Final answer
    x = 309.33

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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.