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Finding the Fourth Proportional to 268.12, 401.74 and 165.19

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Solution

The fourth proportional to 268.12, 401.74 and 165.19 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.12 : 401.74 = 165.19 : x
  2. Step 2: Convert to fraction form
    268.12/401.74 = 165.19/x
  3. Step 3: Cross multiply
    268.12x = 401.74 × 165.19
  4. Step 4: Simplify right side
    268.12x = 66,363.43
  5. Step 5: Solve for x
    x = 66,363.43/268.12
  6. Step 6: Final answer
    x = 247.51

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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.