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Finding the Fourth Proportional to 252.97, 348.99 and 233.32

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Solution

The fourth proportional to 252.97, 348.99 and 233.32 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 348.99 = 233.32 : x
  2. Step 2: Convert to fraction form
    252.97/348.99 = 233.32/x
  3. Step 3: Cross multiply
    252.97x = 348.99 × 233.32
  4. Step 4: Simplify right side
    252.97x = 81,426.35
  5. Step 5: Solve for x
    x = 81,426.35/252.97
  6. Step 6: Final answer
    x = 321.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.