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Finding the Fourth Proportional to 268, 401.92 and 94.69

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Solution

The fourth proportional to 268, 401.92 and 94.69 is: 142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 401.92 = 94.69 : x
  2. Step 2: Convert to fraction form
    268/401.92 = 94.69/x
  3. Step 3: Cross multiply
    268x = 401.92 × 94.69
  4. Step 4: Simplify right side
    268x = 38,057.80
  5. Step 5: Solve for x
    x = 38,057.80/268
  6. Step 6: Final answer
    x = 142.01

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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.