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Finding the Fourth Proportional to 282.47, 423.82 and 109.15

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Solution

The fourth proportional to 282.47, 423.82 and 109.15 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.47 : 423.82 = 109.15 : x
  2. Step 2: Convert to fraction form
    282.47/423.82 = 109.15/x
  3. Step 3: Cross multiply
    282.47x = 423.82 × 109.15
  4. Step 4: Simplify right side
    282.47x = 46,259.87
  5. Step 5: Solve for x
    x = 46,259.87/282.47
  6. Step 6: Final answer
    x = 163.77

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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.