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Finding the Fourth Proportional to 266.73, 400.06 and 84.07

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Solution

The fourth proportional to 266.73, 400.06 and 84.07 is: 126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.73 : 400.06 = 84.07 : x
  2. Step 2: Convert to fraction form
    266.73/400.06 = 84.07/x
  3. Step 3: Cross multiply
    266.73x = 400.06 × 84.07
  4. Step 4: Simplify right side
    266.73x = 33,633.18
  5. Step 5: Solve for x
    x = 33,633.18/266.73
  6. Step 6: Final answer
    x = 126.10

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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.