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Finding the Fourth Proportional to 264.17, 363.06 and 205.85

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Solution

The fourth proportional to 264.17, 363.06 and 205.85 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.17 : 363.06 = 205.85 : x
  2. Step 2: Convert to fraction form
    264.17/363.06 = 205.85/x
  3. Step 3: Cross multiply
    264.17x = 363.06 × 205.85
  4. Step 4: Simplify right side
    264.17x = 74,735.90
  5. Step 5: Solve for x
    x = 74,735.90/264.17
  6. Step 6: Final answer
    x = 282.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.