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Finding the Fourth Proportional to 254.44, 351.19 and 149.53

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Solution

The fourth proportional to 254.44, 351.19 and 149.53 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 351.19 = 149.53 : x
  2. Step 2: Convert to fraction form
    254.44/351.19 = 149.53/x
  3. Step 3: Cross multiply
    254.44x = 351.19 × 149.53
  4. Step 4: Simplify right side
    254.44x = 52,513.44
  5. Step 5: Solve for x
    x = 52,513.44/254.44
  6. Step 6: Final answer
    x = 206.39

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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.