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Finding the Fourth Proportional to 268.23, 402.27 and 170.59

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Solution

The fourth proportional to 268.23, 402.27 and 170.59 is: 255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.23 : 402.27 = 170.59 : x
  2. Step 2: Convert to fraction form
    268.23/402.27 = 170.59/x
  3. Step 3: Cross multiply
    268.23x = 402.27 × 170.59
  4. Step 4: Simplify right side
    268.23x = 68,623.24
  5. Step 5: Solve for x
    x = 68,623.24/268.23
  6. Step 6: Final answer
    x = 255.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.