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Finding the Fourth Proportional to 264.15, 396.23 and 190.86

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Solution

The fourth proportional to 264.15, 396.23 and 190.86 is: 286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.15 : 396.23 = 190.86 : x
  2. Step 2: Convert to fraction form
    264.15/396.23 = 190.86/x
  3. Step 3: Cross multiply
    264.15x = 396.23 × 190.86
  4. Step 4: Simplify right side
    264.15x = 75,624.46
  5. Step 5: Solve for x
    x = 75,624.46/264.15
  6. Step 6: Final answer
    x = 286.29

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Why These Related Problems?

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