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Finding the Fourth Proportional to 282.15, 389.26 and 171.58

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Solution

The fourth proportional to 282.15, 389.26 and 171.58 is: 236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 389.26 = 171.58 : x
  2. Step 2: Convert to fraction form
    282.15/389.26 = 171.58/x
  3. Step 3: Cross multiply
    282.15x = 389.26 × 171.58
  4. Step 4: Simplify right side
    282.15x = 66,789.23
  5. Step 5: Solve for x
    x = 66,789.23/282.15
  6. Step 6: Final answer
    x = 236.72

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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.