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Finding the Fourth Proportional to 282.09, 389.24 and 165.69

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Solution

The fourth proportional to 282.09, 389.24 and 165.69 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 389.24 = 165.69 : x
  2. Step 2: Convert to fraction form
    282.09/389.24 = 165.69/x
  3. Step 3: Cross multiply
    282.09x = 389.24 × 165.69
  4. Step 4: Simplify right side
    282.09x = 64,492.35
  5. Step 5: Solve for x
    x = 64,492.35/282.09
  6. Step 6: Final answer
    x = 228.62

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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.