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Finding the Fourth Proportional to 268.18, 369.57 and 180.70

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Solution

The fourth proportional to 268.18, 369.57 and 180.70 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.18 : 369.57 = 180.70 : x
  2. Step 2: Convert to fraction form
    268.18/369.57 = 180.70/x
  3. Step 3: Cross multiply
    268.18x = 369.57 × 180.70
  4. Step 4: Simplify right side
    268.18x = 66,781.30
  5. Step 5: Solve for x
    x = 66,781.30/268.18
  6. Step 6: Final answer
    x = 249.02

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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.