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Finding the Fourth Proportional to 454.62, 681.67 and 180.57

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Solution

The fourth proportional to 454.62, 681.67 and 180.57 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.62 : 681.67 = 180.57 : x
  2. Step 2: Convert to fraction form
    454.62/681.67 = 180.57/x
  3. Step 3: Cross multiply
    454.62x = 681.67 × 180.57
  4. Step 4: Simplify right side
    454.62x = 123,089.15
  5. Step 5: Solve for x
    x = 123,089.15/454.62
  6. Step 6: Final answer
    x = 270.75

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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.