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Finding the Fourth Proportional to 282.27, 389.43 and 165.81

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Solution

The fourth proportional to 282.27, 389.43 and 165.81 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.27 : 389.43 = 165.81 : x
  2. Step 2: Convert to fraction form
    282.27/389.43 = 165.81/x
  3. Step 3: Cross multiply
    282.27x = 389.43 × 165.81
  4. Step 4: Simplify right side
    282.27x = 64,571.39
  5. Step 5: Solve for x
    x = 64,571.39/282.27
  6. Step 6: Final answer
    x = 228.76

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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.