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Finding the Fourth Proportional to 299.48, 446.22 and 267.14

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Solution

The fourth proportional to 299.48, 446.22 and 267.14 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.48 : 446.22 = 267.14 : x
  2. Step 2: Convert to fraction form
    299.48/446.22 = 267.14/x
  3. Step 3: Cross multiply
    299.48x = 446.22 × 267.14
  4. Step 4: Simplify right side
    299.48x = 119,203.21
  5. Step 5: Solve for x
    x = 119,203.21/299.48
  6. Step 6: Final answer
    x = 398.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.