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Finding the Fourth Proportional to 268.01, 401.81 and 105.82

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Solution

The fourth proportional to 268.01, 401.81 and 105.82 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.01 : 401.81 = 105.82 : x
  2. Step 2: Convert to fraction form
    268.01/401.81 = 105.82/x
  3. Step 3: Cross multiply
    268.01x = 401.81 × 105.82
  4. Step 4: Simplify right side
    268.01x = 42,518.27
  5. Step 5: Solve for x
    x = 42,518.27/268.01
  6. Step 6: Final answer
    x = 158.64

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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.