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Finding the Fourth Proportional to 202.52, 279.24 and 165.56

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Solution

The fourth proportional to 202.52, 279.24 and 165.56 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 279.24 = 165.56 : x
  2. Step 2: Convert to fraction form
    202.52/279.24 = 165.56/x
  3. Step 3: Cross multiply
    202.52x = 279.24 × 165.56
  4. Step 4: Simplify right side
    202.52x = 46,230.97
  5. Step 5: Solve for x
    x = 46,230.97/202.52
  6. Step 6: Final answer
    x = 228.28

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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.