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Finding the Fourth Proportional to 282.58, 423.85 and 109.24

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Solution

The fourth proportional to 282.58, 423.85 and 109.24 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.58 : 423.85 = 109.24 : x
  2. Step 2: Convert to fraction form
    282.58/423.85 = 109.24/x
  3. Step 3: Cross multiply
    282.58x = 423.85 × 109.24
  4. Step 4: Simplify right side
    282.58x = 46,301.37
  5. Step 5: Solve for x
    x = 46,301.37/282.58
  6. Step 6: Final answer
    x = 163.85

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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.