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Finding the Fourth Proportional to 454.79, 682.23 and 180.82

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Solution

The fourth proportional to 454.79, 682.23 and 180.82 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.79 : 682.23 = 180.82 : x
  2. Step 2: Convert to fraction form
    454.79/682.23 = 180.82/x
  3. Step 3: Cross multiply
    454.79x = 682.23 × 180.82
  4. Step 4: Simplify right side
    454.79x = 123,358.22
  5. Step 5: Solve for x
    x = 123,358.22/454.79
  6. Step 6: Final answer
    x = 271.24

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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.