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Finding the Fourth Proportional to 202.04, 279.06 and 163.52

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Solution

The fourth proportional to 202.04, 279.06 and 163.52 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 279.06 = 163.52 : x
  2. Step 2: Convert to fraction form
    202.04/279.06 = 163.52/x
  3. Step 3: Cross multiply
    202.04x = 279.06 × 163.52
  4. Step 4: Simplify right side
    202.04x = 45,631.89
  5. Step 5: Solve for x
    x = 45,631.89/202.04
  6. Step 6: Final answer
    x = 225.86

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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.