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Finding the Fourth Proportional to 202.83, 279.41 and 140.56

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Solution

The fourth proportional to 202.83, 279.41 and 140.56 is: 193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 279.41 = 140.56 : x
  2. Step 2: Convert to fraction form
    202.83/279.41 = 140.56/x
  3. Step 3: Cross multiply
    202.83x = 279.41 × 140.56
  4. Step 4: Simplify right side
    202.83x = 39,274.24
  5. Step 5: Solve for x
    x = 39,274.24/202.83
  6. Step 6: Final answer
    x = 193.63

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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.