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Finding the Fourth Proportional to 202.54, 279.49 and 115.19

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Solution

The fourth proportional to 202.54, 279.49 and 115.19 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.54 : 279.49 = 115.19 : x
  2. Step 2: Convert to fraction form
    202.54/279.49 = 115.19/x
  3. Step 3: Cross multiply
    202.54x = 279.49 × 115.19
  4. Step 4: Simplify right side
    202.54x = 32,194.45
  5. Step 5: Solve for x
    x = 32,194.45/202.54
  6. Step 6: Final answer
    x = 158.95

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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.