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Finding the Fourth Proportional to 284.67, 427.31 and 122.47

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Solution

The fourth proportional to 284.67, 427.31 and 122.47 is: 183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 427.31 = 122.47 : x
  2. Step 2: Convert to fraction form
    284.67/427.31 = 122.47/x
  3. Step 3: Cross multiply
    284.67x = 427.31 × 122.47
  4. Step 4: Simplify right side
    284.67x = 52,331.89
  5. Step 5: Solve for x
    x = 52,331.89/284.67
  6. Step 6: Final answer
    x = 183.83

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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.