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Finding the Fourth Proportional to 282.38, 422.82 and 233.10

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Solution

The fourth proportional to 282.38, 422.82 and 233.10 is: 349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.38 : 422.82 = 233.10 : x
  2. Step 2: Convert to fraction form
    282.38/422.82 = 233.10/x
  3. Step 3: Cross multiply
    282.38x = 422.82 × 233.10
  4. Step 4: Simplify right side
    282.38x = 98,559.34
  5. Step 5: Solve for x
    x = 98,559.34/282.38
  6. Step 6: Final answer
    x = 349.03

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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.