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Finding the Fourth Proportional to 252.06, 348.03 and 174.66

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Solution

The fourth proportional to 252.06, 348.03 and 174.66 is: 241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 348.03 = 174.66 : x
  2. Step 2: Convert to fraction form
    252.06/348.03 = 174.66/x
  3. Step 3: Cross multiply
    252.06x = 348.03 × 174.66
  4. Step 4: Simplify right side
    252.06x = 60,786.92
  5. Step 5: Solve for x
    x = 60,786.92/252.06
  6. Step 6: Final answer
    x = 241.16

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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.