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Finding the Fourth Proportional to 284.50, 426.68 and 193.76

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Solution

The fourth proportional to 284.50, 426.68 and 193.76 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 426.68 = 193.76 : x
  2. Step 2: Convert to fraction form
    284.50/426.68 = 193.76/x
  3. Step 3: Cross multiply
    284.50x = 426.68 × 193.76
  4. Step 4: Simplify right side
    284.50x = 82,673.52
  5. Step 5: Solve for x
    x = 82,673.52/284.50
  6. Step 6: Final answer
    x = 290.59

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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.