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Finding the Fourth Proportional to 284.01, 391.82 and 165.97

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Solution

The fourth proportional to 284.01, 391.82 and 165.97 is: 228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.01 : 391.82 = 165.97 : x
  2. Step 2: Convert to fraction form
    284.01/391.82 = 165.97/x
  3. Step 3: Cross multiply
    284.01x = 391.82 × 165.97
  4. Step 4: Simplify right side
    284.01x = 65,028.41
  5. Step 5: Solve for x
    x = 65,028.41/284.01
  6. Step 6: Final answer
    x = 228.97

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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.