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Finding the Fourth Proportional to 252.14, 378.96 and 209.08

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Solution

The fourth proportional to 252.14, 378.96 and 209.08 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 378.96 = 209.08 : x
  2. Step 2: Convert to fraction form
    252.14/378.96 = 209.08/x
  3. Step 3: Cross multiply
    252.14x = 378.96 × 209.08
  4. Step 4: Simplify right side
    252.14x = 79,232.96
  5. Step 5: Solve for x
    x = 79,232.96/252.14
  6. Step 6: Final answer
    x = 314.24

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Why These Related Problems?

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