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Finding the Fourth Proportional to 268.02, 400.37 and 254.70

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Solution

The fourth proportional to 268.02, 400.37 and 254.70 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 400.37 = 254.70 : x
  2. Step 2: Convert to fraction form
    268.02/400.37 = 254.70/x
  3. Step 3: Cross multiply
    268.02x = 400.37 × 254.70
  4. Step 4: Simplify right side
    268.02x = 101,972.97
  5. Step 5: Solve for x
    x = 101,972.97/268.02
  6. Step 6: Final answer
    x = 380.47

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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.