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Finding the Fourth Proportional to 202.82, 305.63 and 167.54

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Solution

The fourth proportional to 202.82, 305.63 and 167.54 is: 252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 305.63 = 167.54 : x
  2. Step 2: Convert to fraction form
    202.82/305.63 = 167.54/x
  3. Step 3: Cross multiply
    202.82x = 305.63 × 167.54
  4. Step 4: Simplify right side
    202.82x = 51,205.25
  5. Step 5: Solve for x
    x = 51,205.25/202.82
  6. Step 6: Final answer
    x = 252.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.