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Finding the Fourth Proportional to 282.68, 423.96 and 109.23

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Solution

The fourth proportional to 282.68, 423.96 and 109.23 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.68 : 423.96 = 109.23 : x
  2. Step 2: Convert to fraction form
    282.68/423.96 = 109.23/x
  3. Step 3: Cross multiply
    282.68x = 423.96 × 109.23
  4. Step 4: Simplify right side
    282.68x = 46,309.15
  5. Step 5: Solve for x
    x = 46,309.15/282.68
  6. Step 6: Final answer
    x = 163.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.