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Finding the Fourth Proportional to 284.67, 426.88 and 120.21

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Solution

The fourth proportional to 284.67, 426.88 and 120.21 is: 180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 426.88 = 120.21 : x
  2. Step 2: Convert to fraction form
    284.67/426.88 = 120.21/x
  3. Step 3: Cross multiply
    284.67x = 426.88 × 120.21
  4. Step 4: Simplify right side
    284.67x = 51,315.73
  5. Step 5: Solve for x
    x = 51,315.73/284.67
  6. Step 6: Final answer
    x = 180.27

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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.