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Finding the Fourth Proportional to 267.21, 401.01 and 102.84

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Solution

The fourth proportional to 267.21, 401.01 and 102.84 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.21 : 401.01 = 102.84 : x
  2. Step 2: Convert to fraction form
    267.21/401.01 = 102.84/x
  3. Step 3: Cross multiply
    267.21x = 401.01 × 102.84
  4. Step 4: Simplify right side
    267.21x = 41,239.87
  5. Step 5: Solve for x
    x = 41,239.87/267.21
  6. Step 6: Final answer
    x = 154.34

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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.