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Finding the Fourth Proportional to 284.67, 427.10 and 223.92

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Solution

The fourth proportional to 284.67, 427.10 and 223.92 is: 335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 427.10 = 223.92 : x
  2. Step 2: Convert to fraction form
    284.67/427.10 = 223.92/x
  3. Step 3: Cross multiply
    284.67x = 427.10 × 223.92
  4. Step 4: Simplify right side
    284.67x = 95,635.11
  5. Step 5: Solve for x
    x = 95,635.11/284.67
  6. Step 6: Final answer
    x = 335.95

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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.