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Finding the Fourth Proportional to 254.45, 351.10 and 149.54

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Solution

The fourth proportional to 254.45, 351.10 and 149.54 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.45 : 351.10 = 149.54 : x
  2. Step 2: Convert to fraction form
    254.45/351.10 = 149.54/x
  3. Step 3: Cross multiply
    254.45x = 351.10 × 149.54
  4. Step 4: Simplify right side
    254.45x = 52,503.49
  5. Step 5: Solve for x
    x = 52,503.49/254.45
  6. Step 6: Final answer
    x = 206.34

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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.