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Finding the Fourth Proportional to 284.64, 426.96 and 92.28

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Solution

The fourth proportional to 284.64, 426.96 and 92.28 is: 138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 426.96 = 92.28 : x
  2. Step 2: Convert to fraction form
    284.64/426.96 = 92.28/x
  3. Step 3: Cross multiply
    284.64x = 426.96 × 92.28
  4. Step 4: Simplify right side
    284.64x = 39,399.87
  5. Step 5: Solve for x
    x = 39,399.87/284.64
  6. Step 6: Final answer
    x = 138.42

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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.