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Finding the Fourth Proportional to 284.09, 391.99 and 173.59

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Solution

The fourth proportional to 284.09, 391.99 and 173.59 is: 239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 391.99 = 173.59 : x
  2. Step 2: Convert to fraction form
    284.09/391.99 = 173.59/x
  3. Step 3: Cross multiply
    284.09x = 391.99 × 173.59
  4. Step 4: Simplify right side
    284.09x = 68,044.68
  5. Step 5: Solve for x
    x = 68,044.68/284.09
  6. Step 6: Final answer
    x = 239.52

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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.