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Finding the Fourth Proportional to 454.51, 681.85 and 165.97

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Solution

The fourth proportional to 454.51, 681.85 and 165.97 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.51 : 681.85 = 165.97 : x
  2. Step 2: Convert to fraction form
    454.51/681.85 = 165.97/x
  3. Step 3: Cross multiply
    454.51x = 681.85 × 165.97
  4. Step 4: Simplify right side
    454.51x = 113,163.24
  5. Step 5: Solve for x
    x = 113,163.24/454.51
  6. Step 6: Final answer
    x = 248.98

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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.