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Finding the Fourth Proportional to 284.27, 427.17 and 154.37

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Solution

The fourth proportional to 284.27, 427.17 and 154.37 is: 231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.27 : 427.17 = 154.37 : x
  2. Step 2: Convert to fraction form
    284.27/427.17 = 154.37/x
  3. Step 3: Cross multiply
    284.27x = 427.17 × 154.37
  4. Step 4: Simplify right side
    284.27x = 65,942.23
  5. Step 5: Solve for x
    x = 65,942.23/284.27
  6. Step 6: Final answer
    x = 231.97

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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.