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Finding the Fourth Proportional to 252.94, 348.81 and 174.25

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Solution

The fourth proportional to 252.94, 348.81 and 174.25 is: 240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.94 : 348.81 = 174.25 : x
  2. Step 2: Convert to fraction form
    252.94/348.81 = 174.25/x
  3. Step 3: Cross multiply
    252.94x = 348.81 × 174.25
  4. Step 4: Simplify right side
    252.94x = 60,780.14
  5. Step 5: Solve for x
    x = 60,780.14/252.94
  6. Step 6: Final answer
    x = 240.29

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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.