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Finding the Fourth Proportional to 284.36, 426.01 and 197.50

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Solution

The fourth proportional to 284.36, 426.01 and 197.50 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.36 : 426.01 = 197.50 : x
  2. Step 2: Convert to fraction form
    284.36/426.01 = 197.50/x
  3. Step 3: Cross multiply
    284.36x = 426.01 × 197.50
  4. Step 4: Simplify right side
    284.36x = 84,136.98
  5. Step 5: Solve for x
    x = 84,136.98/284.36
  6. Step 6: Final answer
    x = 295.88

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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.