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Finding the Fourth Proportional to 282.25, 389.49 and 171.68

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Solution

The fourth proportional to 282.25, 389.49 and 171.68 is: 236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 389.49 = 171.68 : x
  2. Step 2: Convert to fraction form
    282.25/389.49 = 171.68/x
  3. Step 3: Cross multiply
    282.25x = 389.49 × 171.68
  4. Step 4: Simplify right side
    282.25x = 66,867.64
  5. Step 5: Solve for x
    x = 66,867.64/282.25
  6. Step 6: Final answer
    x = 236.91

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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.