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Finding the Fourth Proportional to 202.57, 279.66 and 180.70

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Solution

The fourth proportional to 202.57, 279.66 and 180.70 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 279.66 = 180.70 : x
  2. Step 2: Convert to fraction form
    202.57/279.66 = 180.70/x
  3. Step 3: Cross multiply
    202.57x = 279.66 × 180.70
  4. Step 4: Simplify right side
    202.57x = 50,534.56
  5. Step 5: Solve for x
    x = 50,534.56/202.57
  6. Step 6: Final answer
    x = 249.47

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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.