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Finding the Fourth Proportional to 254.63, 351.47 and 149.74

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Solution

The fourth proportional to 254.63, 351.47 and 149.74 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.63 : 351.47 = 149.74 : x
  2. Step 2: Convert to fraction form
    254.63/351.47 = 149.74/x
  3. Step 3: Cross multiply
    254.63x = 351.47 × 149.74
  4. Step 4: Simplify right side
    254.63x = 52,628.61
  5. Step 5: Solve for x
    x = 52,628.61/254.63
  6. Step 6: Final answer
    x = 206.68

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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.