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Finding the Fourth Proportional to 264.27, 396.74 and 192.59

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Solution

The fourth proportional to 264.27, 396.74 and 192.59 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.27 : 396.74 = 192.59 : x
  2. Step 2: Convert to fraction form
    264.27/396.74 = 192.59/x
  3. Step 3: Cross multiply
    264.27x = 396.74 × 192.59
  4. Step 4: Simplify right side
    264.27x = 76,406.65
  5. Step 5: Solve for x
    x = 76,406.65/264.27
  6. Step 6: Final answer
    x = 289.12

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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.