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Finding the Fourth Proportional to 268.28, 401.88 and 131.48

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Solution

The fourth proportional to 268.28, 401.88 and 131.48 is: 196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.28 : 401.88 = 131.48 : x
  2. Step 2: Convert to fraction form
    268.28/401.88 = 131.48/x
  3. Step 3: Cross multiply
    268.28x = 401.88 × 131.48
  4. Step 4: Simplify right side
    268.28x = 52,839.18
  5. Step 5: Solve for x
    x = 52,839.18/268.28
  6. Step 6: Final answer
    x = 196.96

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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.