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Finding the Fourth Proportional to 202.80, 279.93 and 115.50

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Solution

The fourth proportional to 202.80, 279.93 and 115.50 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 279.93 = 115.50 : x
  2. Step 2: Convert to fraction form
    202.80/279.93 = 115.50/x
  3. Step 3: Cross multiply
    202.80x = 279.93 × 115.50
  4. Step 4: Simplify right side
    202.80x = 32,331.92
  5. Step 5: Solve for x
    x = 32,331.92/202.80
  6. Step 6: Final answer
    x = 159.43

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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.