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Finding the Fourth Proportional to 268.21, 401.67 and 146.02

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Solution

The fourth proportional to 268.21, 401.67 and 146.02 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.21 : 401.67 = 146.02 : x
  2. Step 2: Convert to fraction form
    268.21/401.67 = 146.02/x
  3. Step 3: Cross multiply
    268.21x = 401.67 × 146.02
  4. Step 4: Simplify right side
    268.21x = 58,651.85
  5. Step 5: Solve for x
    x = 58,651.85/268.21
  6. Step 6: Final answer
    x = 218.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.