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Finding the Fourth Proportional to 268.82, 403.08 and 104.14

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Solution

The fourth proportional to 268.82, 403.08 and 104.14 is: 156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 403.08 = 104.14 : x
  2. Step 2: Convert to fraction form
    268.82/403.08 = 104.14/x
  3. Step 3: Cross multiply
    268.82x = 403.08 × 104.14
  4. Step 4: Simplify right side
    268.82x = 41,976.75
  5. Step 5: Solve for x
    x = 41,976.75/268.82
  6. Step 6: Final answer
    x = 156.15

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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.