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Finding the Fourth Proportional to 267.71, 371.99 and 264.26

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Solution

The fourth proportional to 267.71, 371.99 and 264.26 is: 367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.71 : 371.99 = 264.26 : x
  2. Step 2: Convert to fraction form
    267.71/371.99 = 264.26/x
  3. Step 3: Cross multiply
    267.71x = 371.99 × 264.26
  4. Step 4: Simplify right side
    267.71x = 98,303.67
  5. Step 5: Solve for x
    x = 98,303.67/267.71
  6. Step 6: Final answer
    x = 367.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.