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Finding the Fourth Proportional to 267.90, 369.64 and 157.42

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Solution

The fourth proportional to 267.90, 369.64 and 157.42 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.90 : 369.64 = 157.42 : x
  2. Step 2: Convert to fraction form
    267.90/369.64 = 157.42/x
  3. Step 3: Cross multiply
    267.90x = 369.64 × 157.42
  4. Step 4: Simplify right side
    267.90x = 58,188.73
  5. Step 5: Solve for x
    x = 58,188.73/267.90
  6. Step 6: Final answer
    x = 217.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.