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Finding the Fourth Proportional to 212.03, 292.37 and 163.02

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Solution

The fourth proportional to 212.03, 292.37 and 163.02 is: 224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.03 : 292.37 = 163.02 : x
  2. Step 2: Convert to fraction form
    212.03/292.37 = 163.02/x
  3. Step 3: Cross multiply
    212.03x = 292.37 × 163.02
  4. Step 4: Simplify right side
    212.03x = 47,661.34
  5. Step 5: Solve for x
    x = 47,661.34/212.03
  6. Step 6: Final answer
    x = 224.79

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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.