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Finding the Fourth Proportional to 284.56, 427.02 and 122.26

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Solution

The fourth proportional to 284.56, 427.02 and 122.26 is: 183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 427.02 = 122.26 : x
  2. Step 2: Convert to fraction form
    284.56/427.02 = 122.26/x
  3. Step 3: Cross multiply
    284.56x = 427.02 × 122.26
  4. Step 4: Simplify right side
    284.56x = 52,207.43
  5. Step 5: Solve for x
    x = 52,207.43/284.56
  6. Step 6: Final answer
    x = 183.47

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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.