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Finding the Fourth Proportional to 268.80, 400.98 and 241.44

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Solution

The fourth proportional to 268.80, 400.98 and 241.44 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 400.98 = 241.44 : x
  2. Step 2: Convert to fraction form
    268.80/400.98 = 241.44/x
  3. Step 3: Cross multiply
    268.80x = 400.98 × 241.44
  4. Step 4: Simplify right side
    268.80x = 96,812.61
  5. Step 5: Solve for x
    x = 96,812.61/268.80
  6. Step 6: Final answer
    x = 360.17

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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.