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Finding the Fourth Proportional to 454.62, 682.02 and 166.06

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Solution

The fourth proportional to 454.62, 682.02 and 166.06 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.62 : 682.02 = 166.06 : x
  2. Step 2: Convert to fraction form
    454.62/682.02 = 166.06/x
  3. Step 3: Cross multiply
    454.62x = 682.02 × 166.06
  4. Step 4: Simplify right side
    454.62x = 113,256.24
  5. Step 5: Solve for x
    x = 113,256.24/454.62
  6. Step 6: Final answer
    x = 249.12

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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.