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Finding the Fourth Proportional to 284.30, 426.67 and 121.98

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Solution

The fourth proportional to 284.30, 426.67 and 121.98 is: 183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 426.67 = 121.98 : x
  2. Step 2: Convert to fraction form
    284.30/426.67 = 121.98/x
  3. Step 3: Cross multiply
    284.30x = 426.67 × 121.98
  4. Step 4: Simplify right side
    284.30x = 52,044.90
  5. Step 5: Solve for x
    x = 52,044.90/284.30
  6. Step 6: Final answer
    x = 183.07

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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.