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Finding the Fourth Proportional to 268.11, 401.91 and 146.23

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Solution

The fourth proportional to 268.11, 401.91 and 146.23 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.11 : 401.91 = 146.23 : x
  2. Step 2: Convert to fraction form
    268.11/401.91 = 146.23/x
  3. Step 3: Cross multiply
    268.11x = 401.91 × 146.23
  4. Step 4: Simplify right side
    268.11x = 58,771.30
  5. Step 5: Solve for x
    x = 58,771.30/268.11
  6. Step 6: Final answer
    x = 219.21

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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.