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Finding the Fourth Proportional to 284.26, 426.39 and 101.78

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Solution

The fourth proportional to 284.26, 426.39 and 101.78 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 426.39 = 101.78 : x
  2. Step 2: Convert to fraction form
    284.26/426.39 = 101.78/x
  3. Step 3: Cross multiply
    284.26x = 426.39 × 101.78
  4. Step 4: Simplify right side
    284.26x = 43,399.04
  5. Step 5: Solve for x
    x = 43,399.04/284.26
  6. Step 6: Final answer
    x = 152.68

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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.