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Finding the Fourth Proportional to 202.32, 279.17 and 113.78

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Solution

The fourth proportional to 202.32, 279.17 and 113.78 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 279.17 = 113.78 : x
  2. Step 2: Convert to fraction form
    202.32/279.17 = 113.78/x
  3. Step 3: Cross multiply
    202.32x = 279.17 × 113.78
  4. Step 4: Simplify right side
    202.32x = 31,764.94
  5. Step 5: Solve for x
    x = 31,764.94/202.32
  6. Step 6: Final answer
    x = 157.00

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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.