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Finding the Fourth Proportional to 267.29, 368.32 and 205.12

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Solution

The fourth proportional to 267.29, 368.32 and 205.12 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.29 : 368.32 = 205.12 : x
  2. Step 2: Convert to fraction form
    267.29/368.32 = 205.12/x
  3. Step 3: Cross multiply
    267.29x = 368.32 × 205.12
  4. Step 4: Simplify right side
    267.29x = 75,549.80
  5. Step 5: Solve for x
    x = 75,549.80/267.29
  6. Step 6: Final answer
    x = 282.65

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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.