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Finding the Fourth Proportional to 268.03, 402.23 and 146.31

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Solution

The fourth proportional to 268.03, 402.23 and 146.31 is: 219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.03 : 402.23 = 146.31 : x
  2. Step 2: Convert to fraction form
    268.03/402.23 = 146.31/x
  3. Step 3: Cross multiply
    268.03x = 402.23 × 146.31
  4. Step 4: Simplify right side
    268.03x = 58,850.27
  5. Step 5: Solve for x
    x = 58,850.27/268.03
  6. Step 6: Final answer
    x = 219.57

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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.