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Finding the Fourth Proportional to 252.48, 378.61 and 206.15

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Solution

The fourth proportional to 252.48, 378.61 and 206.15 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.48 : 378.61 = 206.15 : x
  2. Step 2: Convert to fraction form
    252.48/378.61 = 206.15/x
  3. Step 3: Cross multiply
    252.48x = 378.61 × 206.15
  4. Step 4: Simplify right side
    252.48x = 78,048.04
  5. Step 5: Solve for x
    x = 78,048.04/252.48
  6. Step 6: Final answer
    x = 309.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.