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Finding the Fourth Proportional to 282.24, 423.49 and 189.75

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Solution

The fourth proportional to 282.24, 423.49 and 189.75 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 423.49 = 189.75 : x
  2. Step 2: Convert to fraction form
    282.24/423.49 = 189.75/x
  3. Step 3: Cross multiply
    282.24x = 423.49 × 189.75
  4. Step 4: Simplify right side
    282.24x = 80,357.23
  5. Step 5: Solve for x
    x = 80,357.23/282.24
  6. Step 6: Final answer
    x = 284.71

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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.