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Finding the Fourth Proportional to 282.40, 423.70 and 109.16

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Solution

The fourth proportional to 282.40, 423.70 and 109.16 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 423.70 = 109.16 : x
  2. Step 2: Convert to fraction form
    282.40/423.70 = 109.16/x
  3. Step 3: Cross multiply
    282.40x = 423.70 × 109.16
  4. Step 4: Simplify right side
    282.40x = 46,251.09
  5. Step 5: Solve for x
    x = 46,251.09/282.40
  6. Step 6: Final answer
    x = 163.78

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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.