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Finding the Fourth Proportional to 282.07, 422.34 and 224.02

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Solution

The fourth proportional to 282.07, 422.34 and 224.02 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.07 : 422.34 = 224.02 : x
  2. Step 2: Convert to fraction form
    282.07/422.34 = 224.02/x
  3. Step 3: Cross multiply
    282.07x = 422.34 × 224.02
  4. Step 4: Simplify right side
    282.07x = 94,612.61
  5. Step 5: Solve for x
    x = 94,612.61/282.07
  6. Step 6: Final answer
    x = 335.42

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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.