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Finding the Fourth Proportional to 454.28, 680.96 and 194.16

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Solution

The fourth proportional to 454.28, 680.96 and 194.16 is: 291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.28 : 680.96 = 194.16 : x
  2. Step 2: Convert to fraction form
    454.28/680.96 = 194.16/x
  3. Step 3: Cross multiply
    454.28x = 680.96 × 194.16
  4. Step 4: Simplify right side
    454.28x = 132,214.22
  5. Step 5: Solve for x
    x = 132,214.22/454.28
  6. Step 6: Final answer
    x = 291.04

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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.