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Finding the Fourth Proportional to 284.46, 426.69 and 92.09

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Solution

The fourth proportional to 284.46, 426.69 and 92.09 is: 138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 426.69 = 92.09 : x
  2. Step 2: Convert to fraction form
    284.46/426.69 = 92.09/x
  3. Step 3: Cross multiply
    284.46x = 426.69 × 92.09
  4. Step 4: Simplify right side
    284.46x = 39,291.75
  5. Step 5: Solve for x
    x = 39,291.75/284.46
  6. Step 6: Final answer
    x = 138.13

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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.