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Finding the Fourth Proportional to 282.41, 422.70 and 236.24

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Solution

The fourth proportional to 282.41, 422.70 and 236.24 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 422.70 = 236.24 : x
  2. Step 2: Convert to fraction form
    282.41/422.70 = 236.24/x
  3. Step 3: Cross multiply
    282.41x = 422.70 × 236.24
  4. Step 4: Simplify right side
    282.41x = 99,858.65
  5. Step 5: Solve for x
    x = 99,858.65/282.41
  6. Step 6: Final answer
    x = 353.59

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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.