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Finding the Fourth Proportional to 268, 401.76 and 146.24

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Solution

The fourth proportional to 268, 401.76 and 146.24 is: 219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 401.76 = 146.24 : x
  2. Step 2: Convert to fraction form
    268/401.76 = 146.24/x
  3. Step 3: Cross multiply
    268x = 401.76 × 146.24
  4. Step 4: Simplify right side
    268x = 58,753.38
  5. Step 5: Solve for x
    x = 58,753.38/268
  6. Step 6: Final answer
    x = 219.23

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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.