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Finding the Fourth Proportional to 282.58, 423.74 and 109.11

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Solution

The fourth proportional to 282.58, 423.74 and 109.11 is: 163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.58 : 423.74 = 109.11 : x
  2. Step 2: Convert to fraction form
    282.58/423.74 = 109.11/x
  3. Step 3: Cross multiply
    282.58x = 423.74 × 109.11
  4. Step 4: Simplify right side
    282.58x = 46,234.63
  5. Step 5: Solve for x
    x = 46,234.63/282.58
  6. Step 6: Final answer
    x = 163.62

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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.