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Finding the Fourth Proportional to 267.29, 368.62 and 205.01

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Solution

The fourth proportional to 267.29, 368.62 and 205.01 is: 282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.29 : 368.62 = 205.01 : x
  2. Step 2: Convert to fraction form
    267.29/368.62 = 205.01/x
  3. Step 3: Cross multiply
    267.29x = 368.62 × 205.01
  4. Step 4: Simplify right side
    267.29x = 75,568.43
  5. Step 5: Solve for x
    x = 75,568.43/267.29
  6. Step 6: Final answer
    x = 282.73

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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.