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Finding the Fourth Proportional to 267.21, 400.45 and 139.05

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Solution

The fourth proportional to 267.21, 400.45 and 139.05 is: 208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.21 : 400.45 = 139.05 : x
  2. Step 2: Convert to fraction form
    267.21/400.45 = 139.05/x
  3. Step 3: Cross multiply
    267.21x = 400.45 × 139.05
  4. Step 4: Simplify right side
    267.21x = 55,682.57
  5. Step 5: Solve for x
    x = 55,682.57/267.21
  6. Step 6: Final answer
    x = 208.39

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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.