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Finding the Fourth Proportional to 254.46, 351.16 and 138.02

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Solution

The fourth proportional to 254.46, 351.16 and 138.02 is: 190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.46 : 351.16 = 138.02 : x
  2. Step 2: Convert to fraction form
    254.46/351.16 = 138.02/x
  3. Step 3: Cross multiply
    254.46x = 351.16 × 138.02
  4. Step 4: Simplify right side
    254.46x = 48,467.97
  5. Step 5: Solve for x
    x = 48,467.97/254.46
  6. Step 6: Final answer
    x = 190.47

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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.