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Finding the Fourth Proportional to 454.64, 682.08 and 194.66

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Solution

The fourth proportional to 454.64, 682.08 and 194.66 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.64 : 682.08 = 194.66 : x
  2. Step 2: Convert to fraction form
    454.64/682.08 = 194.66/x
  3. Step 3: Cross multiply
    454.64x = 682.08 × 194.66
  4. Step 4: Simplify right side
    454.64x = 132,770.28
  5. Step 5: Solve for x
    x = 132,770.28/454.64
  6. Step 6: Final answer
    x = 292.04

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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.