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Finding the Fourth Proportional to 268.23, 370.22 and 168.70

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Solution

The fourth proportional to 268.23, 370.22 and 168.70 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.23 : 370.22 = 168.70 : x
  2. Step 2: Convert to fraction form
    268.23/370.22 = 168.70/x
  3. Step 3: Cross multiply
    268.23x = 370.22 × 168.70
  4. Step 4: Simplify right side
    268.23x = 62,456.11
  5. Step 5: Solve for x
    x = 62,456.11/268.23
  6. Step 6: Final answer
    x = 232.85

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