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Finding the Fourth Proportional to 284.26, 426.36 and 78.86

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Solution

The fourth proportional to 284.26, 426.36 and 78.86 is: 118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 426.36 = 78.86 : x
  2. Step 2: Convert to fraction form
    284.26/426.36 = 78.86/x
  3. Step 3: Cross multiply
    284.26x = 426.36 × 78.86
  4. Step 4: Simplify right side
    284.26x = 33,622.75
  5. Step 5: Solve for x
    x = 33,622.75/284.26
  6. Step 6: Final answer
    x = 118.28

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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.