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Finding the Fourth Proportional to 267.00, 400.49 and 102.42

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Solution

The fourth proportional to 267.00, 400.49 and 102.42 is: 153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.00 : 400.49 = 102.42 : x
  2. Step 2: Convert to fraction form
    267.00/400.49 = 102.42/x
  3. Step 3: Cross multiply
    267.00x = 400.49 × 102.42
  4. Step 4: Simplify right side
    267.00x = 41,018.90
  5. Step 5: Solve for x
    x = 41,018.90/267.00
  6. Step 6: Final answer
    x = 153.63

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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.