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Finding the Fourth Proportional to 254.89, 351.75 and 138.46

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Solution

The fourth proportional to 254.89, 351.75 and 138.46 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.89 : 351.75 = 138.46 : x
  2. Step 2: Convert to fraction form
    254.89/351.75 = 138.46/x
  3. Step 3: Cross multiply
    254.89x = 351.75 × 138.46
  4. Step 4: Simplify right side
    254.89x = 48,701.55
  5. Step 5: Solve for x
    x = 48,701.55/254.89
  6. Step 6: Final answer
    x = 191.07

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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.