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Finding the Fourth Proportional to 254.57, 351.30 and 149.66

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Solution

The fourth proportional to 254.57, 351.30 and 149.66 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.57 : 351.30 = 149.66 : x
  2. Step 2: Convert to fraction form
    254.57/351.30 = 149.66/x
  3. Step 3: Cross multiply
    254.57x = 351.30 × 149.66
  4. Step 4: Simplify right side
    254.57x = 52,573.80
  5. Step 5: Solve for x
    x = 52,573.80/254.57
  6. Step 6: Final answer
    x = 206.52

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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.