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Finding the Fourth Proportional to 254.68, 351.46 and 138.24

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Solution

The fourth proportional to 254.68, 351.46 and 138.24 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.68 : 351.46 = 138.24 : x
  2. Step 2: Convert to fraction form
    254.68/351.46 = 138.24/x
  3. Step 3: Cross multiply
    254.68x = 351.46 × 138.24
  4. Step 4: Simplify right side
    254.68x = 48,585.83
  5. Step 5: Solve for x
    x = 48,585.83/254.68
  6. Step 6: Final answer
    x = 190.77

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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.