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Finding the Fourth Proportional to 454.17, 680.85 and 165.54

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Solution

The fourth proportional to 454.17, 680.85 and 165.54 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.17 : 680.85 = 165.54 : x
  2. Step 2: Convert to fraction form
    454.17/680.85 = 165.54/x
  3. Step 3: Cross multiply
    454.17x = 680.85 × 165.54
  4. Step 4: Simplify right side
    454.17x = 112,708.14
  5. Step 5: Solve for x
    x = 112,708.14/454.17
  6. Step 6: Final answer
    x = 248.16

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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.