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Finding the Fourth Proportional to 268.52, 401.77 and 241.55

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Solution

The fourth proportional to 268.52, 401.77 and 241.55 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.52 : 401.77 = 241.55 : x
  2. Step 2: Convert to fraction form
    268.52/401.77 = 241.55/x
  3. Step 3: Cross multiply
    268.52x = 401.77 × 241.55
  4. Step 4: Simplify right side
    268.52x = 97,047.54
  5. Step 5: Solve for x
    x = 97,047.54/268.52
  6. Step 6: Final answer
    x = 361.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.