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Finding the Fourth Proportional to 282.09, 422.78 and 135.75

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Solution

The fourth proportional to 282.09, 422.78 and 135.75 is: 203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 422.78 = 135.75 : x
  2. Step 2: Convert to fraction form
    282.09/422.78 = 135.75/x
  3. Step 3: Cross multiply
    282.09x = 422.78 × 135.75
  4. Step 4: Simplify right side
    282.09x = 57,391.71
  5. Step 5: Solve for x
    x = 57,391.71/282.09
  6. Step 6: Final answer
    x = 203.45

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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.