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Finding the Fourth Proportional to 267.35, 400.07 and 224.06

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Solution

The fourth proportional to 267.35, 400.07 and 224.06 is: 335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.35 : 400.07 = 224.06 : x
  2. Step 2: Convert to fraction form
    267.35/400.07 = 224.06/x
  3. Step 3: Cross multiply
    267.35x = 400.07 × 224.06
  4. Step 4: Simplify right side
    267.35x = 89,638.24
  5. Step 5: Solve for x
    x = 89,638.24/267.35
  6. Step 6: Final answer
    x = 335.29

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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.