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Finding the Fourth Proportional to 264.18, 396.52 and 203.96

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Solution

The fourth proportional to 264.18, 396.52 and 203.96 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.18 : 396.52 = 203.96 : x
  2. Step 2: Convert to fraction form
    264.18/396.52 = 203.96/x
  3. Step 3: Cross multiply
    264.18x = 396.52 × 203.96
  4. Step 4: Simplify right side
    264.18x = 80,874.22
  5. Step 5: Solve for x
    x = 80,874.22/264.18
  6. Step 6: Final answer
    x = 306.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.