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Finding the Fourth Proportional to 252.35, 348.09 and 190.15

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Solution

The fourth proportional to 252.35, 348.09 and 190.15 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.35 : 348.09 = 190.15 : x
  2. Step 2: Convert to fraction form
    252.35/348.09 = 190.15/x
  3. Step 3: Cross multiply
    252.35x = 348.09 × 190.15
  4. Step 4: Simplify right side
    252.35x = 66,189.31
  5. Step 5: Solve for x
    x = 66,189.31/252.35
  6. Step 6: Final answer
    x = 262.29

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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.