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Finding the Fourth Proportional to 284.02, 391.53 and 200.87

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Solution

The fourth proportional to 284.02, 391.53 and 200.87 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.02 : 391.53 = 200.87 : x
  2. Step 2: Convert to fraction form
    284.02/391.53 = 200.87/x
  3. Step 3: Cross multiply
    284.02x = 391.53 × 200.87
  4. Step 4: Simplify right side
    284.02x = 78,646.63
  5. Step 5: Solve for x
    x = 78,646.63/284.02
  6. Step 6: Final answer
    x = 276.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.