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Finding the Fourth Proportional to 282.29, 422.82 and 236.72

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Solution

The fourth proportional to 282.29, 422.82 and 236.72 is: 354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 422.82 = 236.72 : x
  2. Step 2: Convert to fraction form
    282.29/422.82 = 236.72/x
  3. Step 3: Cross multiply
    282.29x = 422.82 × 236.72
  4. Step 4: Simplify right side
    282.29x = 100,091.01
  5. Step 5: Solve for x
    x = 100,091.01/282.29
  6. Step 6: Final answer
    x = 354.57

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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.