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Finding the Fourth Proportional to 284.22, 426.27 and 78.78

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Solution

The fourth proportional to 284.22, 426.27 and 78.78 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 426.27 = 78.78 : x
  2. Step 2: Convert to fraction form
    284.22/426.27 = 78.78/x
  3. Step 3: Cross multiply
    284.22x = 426.27 × 78.78
  4. Step 4: Simplify right side
    284.22x = 33,581.55
  5. Step 5: Solve for x
    x = 33,581.55/284.22
  6. Step 6: Final answer
    x = 118.15

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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.