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Finding the Fourth Proportional to 284.01, 391.82 and 167.37

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Solution

The fourth proportional to 284.01, 391.82 and 167.37 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.01 : 391.82 = 167.37 : x
  2. Step 2: Convert to fraction form
    284.01/391.82 = 167.37/x
  3. Step 3: Cross multiply
    284.01x = 391.82 × 167.37
  4. Step 4: Simplify right side
    284.01x = 65,578.08
  5. Step 5: Solve for x
    x = 65,578.08/284.01
  6. Step 6: Final answer
    x = 230.90

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