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Finding the Fourth Proportional to 267, 400.62 and 104.72

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Solution

The fourth proportional to 267, 400.62 and 104.72 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 400.62 = 104.72 : x
  2. Step 2: Convert to fraction form
    267/400.62 = 104.72/x
  3. Step 3: Cross multiply
    267x = 400.62 × 104.72
  4. Step 4: Simplify right side
    267x = 41,952.93
  5. Step 5: Solve for x
    x = 41,952.93/267
  6. Step 6: Final answer
    x = 157.13

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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.