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Finding the Fourth Proportional to 267.41, 400.50 and 202.52

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Solution

The fourth proportional to 267.41, 400.50 and 202.52 is: 303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.41 : 400.50 = 202.52 : x
  2. Step 2: Convert to fraction form
    267.41/400.50 = 202.52/x
  3. Step 3: Cross multiply
    267.41x = 400.50 × 202.52
  4. Step 4: Simplify right side
    267.41x = 81,107.26
  5. Step 5: Solve for x
    x = 81,107.26/267.41
  6. Step 6: Final answer
    x = 303.31

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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.