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Finding the Fourth Proportional to 252.94, 349.13 and 174.37

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Solution

The fourth proportional to 252.94, 349.13 and 174.37 is: 240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.94 : 349.13 = 174.37 : x
  2. Step 2: Convert to fraction form
    252.94/349.13 = 174.37/x
  3. Step 3: Cross multiply
    252.94x = 349.13 × 174.37
  4. Step 4: Simplify right side
    252.94x = 60,877.80
  5. Step 5: Solve for x
    x = 60,877.80/252.94
  6. Step 6: Final answer
    x = 240.68

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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.