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Finding the Fourth Proportional to 268.27, 370.26 and 170.14

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Solution

The fourth proportional to 268.27, 370.26 and 170.14 is: 234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.27 : 370.26 = 170.14 : x
  2. Step 2: Convert to fraction form
    268.27/370.26 = 170.14/x
  3. Step 3: Cross multiply
    268.27x = 370.26 × 170.14
  4. Step 4: Simplify right side
    268.27x = 62,996.04
  5. Step 5: Solve for x
    x = 62,996.04/268.27
  6. Step 6: Final answer
    x = 234.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.