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Finding the Fourth Proportional to 254.10, 350.74 and 166.78

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Solution

The fourth proportional to 254.10, 350.74 and 166.78 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 350.74 = 166.78 : x
  2. Step 2: Convert to fraction form
    254.10/350.74 = 166.78/x
  3. Step 3: Cross multiply
    254.10x = 350.74 × 166.78
  4. Step 4: Simplify right side
    254.10x = 58,496.42
  5. Step 5: Solve for x
    x = 58,496.42/254.10
  6. Step 6: Final answer
    x = 230.21

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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.