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Finding the Fourth Proportional to 267.45, 368.71 and 205.17

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Solution

The fourth proportional to 267.45, 368.71 and 205.17 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 368.71 = 205.17 : x
  2. Step 2: Convert to fraction form
    267.45/368.71 = 205.17/x
  3. Step 3: Cross multiply
    267.45x = 368.71 × 205.17
  4. Step 4: Simplify right side
    267.45x = 75,648.23
  5. Step 5: Solve for x
    x = 75,648.23/267.45
  6. Step 6: Final answer
    x = 282.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.