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Finding the Fourth Proportional to 454.06, 680.67 and 165.43

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Solution

The fourth proportional to 454.06, 680.67 and 165.43 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.06 : 680.67 = 165.43 : x
  2. Step 2: Convert to fraction form
    454.06/680.67 = 165.43/x
  3. Step 3: Cross multiply
    454.06x = 680.67 × 165.43
  4. Step 4: Simplify right side
    454.06x = 112,603.24
  5. Step 5: Solve for x
    x = 112,603.24/454.06
  6. Step 6: Final answer
    x = 247.99

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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.