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Finding the Fourth Proportional to 267.74, 401.37 and 130.82

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Solution

The fourth proportional to 267.74, 401.37 and 130.82 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.74 : 401.37 = 130.82 : x
  2. Step 2: Convert to fraction form
    267.74/401.37 = 130.82/x
  3. Step 3: Cross multiply
    267.74x = 401.37 × 130.82
  4. Step 4: Simplify right side
    267.74x = 52,507.22
  5. Step 5: Solve for x
    x = 52,507.22/267.74
  6. Step 6: Final answer
    x = 196.11

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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.