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Finding the Fourth Proportional to 202.38, 279.90 and 180.51

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Solution

The fourth proportional to 202.38, 279.90 and 180.51 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 279.90 = 180.51 : x
  2. Step 2: Convert to fraction form
    202.38/279.90 = 180.51/x
  3. Step 3: Cross multiply
    202.38x = 279.90 × 180.51
  4. Step 4: Simplify right side
    202.38x = 50,524.75
  5. Step 5: Solve for x
    x = 50,524.75/202.38
  6. Step 6: Final answer
    x = 249.65

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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.