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Finding the Fourth Proportional to 212.29, 293.13 and 168.82

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Solution

The fourth proportional to 212.29, 293.13 and 168.82 is: 233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.29 : 293.13 = 168.82 : x
  2. Step 2: Convert to fraction form
    212.29/293.13 = 168.82/x
  3. Step 3: Cross multiply
    212.29x = 293.13 × 168.82
  4. Step 4: Simplify right side
    212.29x = 49,485.47
  5. Step 5: Solve for x
    x = 49,485.47/212.29
  6. Step 6: Final answer
    x = 233.11

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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.