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Finding the Fourth Proportional to 254.88, 380.16 and 200.52

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Solution

The fourth proportional to 254.88, 380.16 and 200.52 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 380.16 = 200.52 : x
  2. Step 2: Convert to fraction form
    254.88/380.16 = 200.52/x
  3. Step 3: Cross multiply
    254.88x = 380.16 × 200.52
  4. Step 4: Simplify right side
    254.88x = 76,229.68
  5. Step 5: Solve for x
    x = 76,229.68/254.88
  6. Step 6: Final answer
    x = 299.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.