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Finding the Fourth Proportional to 267.22, 397.85 and 263.98

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Solution

The fourth proportional to 267.22, 397.85 and 263.98 is: 393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 397.85 = 263.98 : x
  2. Step 2: Convert to fraction form
    267.22/397.85 = 263.98/x
  3. Step 3: Cross multiply
    267.22x = 397.85 × 263.98
  4. Step 4: Simplify right side
    267.22x = 105,024.44
  5. Step 5: Solve for x
    x = 105,024.44/267.22
  6. Step 6: Final answer
    x = 393.03

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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.