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Finding the Fourth Proportional to 837.30, 1,255.68 and 252.18

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Solution

The fourth proportional to 837.30, 1,255.68 and 252.18 is: 378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.30 : 1,255.68 = 252.18 : x
  2. Step 2: Convert to fraction form
    837.30/1,255.68 = 252.18/x
  3. Step 3: Cross multiply
    837.30x = 1,255.68 × 252.18
  4. Step 4: Simplify right side
    837.30x = 316,657.38
  5. Step 5: Solve for x
    x = 316,657.38/837.30
  6. Step 6: Final answer
    x = 378.19

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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.