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Finding the Fourth Proportional to 254.54, 351.24 and 189.20

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Solution

The fourth proportional to 254.54, 351.24 and 189.20 is: 261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.54 : 351.24 = 189.20 : x
  2. Step 2: Convert to fraction form
    254.54/351.24 = 189.20/x
  3. Step 3: Cross multiply
    254.54x = 351.24 × 189.20
  4. Step 4: Simplify right side
    254.54x = 66,452.85
  5. Step 5: Solve for x
    x = 66,452.85/254.54
  6. Step 6: Final answer
    x = 261.08

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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.