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Finding the Fourth Proportional to 266.93, 401.82 and 190.43

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Solution

The fourth proportional to 266.93, 401.82 and 190.43 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.93 : 401.82 = 190.43 : x
  2. Step 2: Convert to fraction form
    266.93/401.82 = 190.43/x
  3. Step 3: Cross multiply
    266.93x = 401.82 × 190.43
  4. Step 4: Simplify right side
    266.93x = 76,515.62
  5. Step 5: Solve for x
    x = 76,515.62/266.93
  6. Step 6: Final answer
    x = 286.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.