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Finding the Fourth Proportional to 284.30, 426.36 and 106.12

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Solution

The fourth proportional to 284.30, 426.36 and 106.12 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 426.36 = 106.12 : x
  2. Step 2: Convert to fraction form
    284.30/426.36 = 106.12/x
  3. Step 3: Cross multiply
    284.30x = 426.36 × 106.12
  4. Step 4: Simplify right side
    284.30x = 45,245.32
  5. Step 5: Solve for x
    x = 45,245.32/284.30
  6. Step 6: Final answer
    x = 159.15

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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.