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Finding the Fourth Proportional to 454.62, 681.98 and 130.04

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Solution

The fourth proportional to 454.62, 681.98 and 130.04 is: 195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.62 : 681.98 = 130.04 : x
  2. Step 2: Convert to fraction form
    454.62/681.98 = 130.04/x
  3. Step 3: Cross multiply
    454.62x = 681.98 × 130.04
  4. Step 4: Simplify right side
    454.62x = 88,680.62
  5. Step 5: Solve for x
    x = 88,680.62/454.62
  6. Step 6: Final answer
    x = 195.07

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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.