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Finding the Fourth Proportional to 252.58, 378.87 and 209.74

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Solution

The fourth proportional to 252.58, 378.87 and 209.74 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 378.87 = 209.74 : x
  2. Step 2: Convert to fraction form
    252.58/378.87 = 209.74/x
  3. Step 3: Cross multiply
    252.58x = 378.87 × 209.74
  4. Step 4: Simplify right side
    252.58x = 79,464.19
  5. Step 5: Solve for x
    x = 79,464.19/252.58
  6. Step 6: Final answer
    x = 314.61

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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.