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Finding the Fourth Proportional to 254.66, 351.30 and 149.69

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Solution

The fourth proportional to 254.66, 351.30 and 149.69 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.66 : 351.30 = 149.69 : x
  2. Step 2: Convert to fraction form
    254.66/351.30 = 149.69/x
  3. Step 3: Cross multiply
    254.66x = 351.30 × 149.69
  4. Step 4: Simplify right side
    254.66x = 52,584.34
  5. Step 5: Solve for x
    x = 52,584.34/254.66
  6. Step 6: Final answer
    x = 206.49

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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.