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Finding the Fourth Proportional to 212.92, 293.82 and 135.28

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Solution

The fourth proportional to 212.92, 293.82 and 135.28 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 293.82 = 135.28 : x
  2. Step 2: Convert to fraction form
    212.92/293.82 = 135.28/x
  3. Step 3: Cross multiply
    212.92x = 293.82 × 135.28
  4. Step 4: Simplify right side
    212.92x = 39,747.97
  5. Step 5: Solve for x
    x = 39,747.97/212.92
  6. Step 6: Final answer
    x = 186.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.