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Finding the Fourth Proportional to 254.26, 350.49 and 166.87

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Solution

The fourth proportional to 254.26, 350.49 and 166.87 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 350.49 = 166.87 : x
  2. Step 2: Convert to fraction form
    254.26/350.49 = 166.87/x
  3. Step 3: Cross multiply
    254.26x = 350.49 × 166.87
  4. Step 4: Simplify right side
    254.26x = 58,486.27
  5. Step 5: Solve for x
    x = 58,486.27/254.26
  6. Step 6: Final answer
    x = 230.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.