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Finding the Fourth Proportional to 264.67, 396.50 and 127.37

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Solution

The fourth proportional to 264.67, 396.50 and 127.37 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.67 : 396.50 = 127.37 : x
  2. Step 2: Convert to fraction form
    264.67/396.50 = 127.37/x
  3. Step 3: Cross multiply
    264.67x = 396.50 × 127.37
  4. Step 4: Simplify right side
    264.67x = 50,502.56
  5. Step 5: Solve for x
    x = 50,502.56/264.67
  6. Step 6: Final answer
    x = 190.82

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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.