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Finding the Fourth Proportional to 268.26, 401.96 and 258.14

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Solution

The fourth proportional to 268.26, 401.96 and 258.14 is: 386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.26 : 401.96 = 258.14 : x
  2. Step 2: Convert to fraction form
    268.26/401.96 = 258.14/x
  3. Step 3: Cross multiply
    268.26x = 401.96 × 258.14
  4. Step 4: Simplify right side
    268.26x = 103,761.95
  5. Step 5: Solve for x
    x = 103,761.95/268.26
  6. Step 6: Final answer
    x = 386.80

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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.