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Finding the Fourth Proportional to 202.82, 279.88 and 114.30

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Solution

The fourth proportional to 202.82, 279.88 and 114.30 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 279.88 = 114.30 : x
  2. Step 2: Convert to fraction form
    202.82/279.88 = 114.30/x
  3. Step 3: Cross multiply
    202.82x = 279.88 × 114.30
  4. Step 4: Simplify right side
    202.82x = 31,990.28
  5. Step 5: Solve for x
    x = 31,990.28/202.82
  6. Step 6: Final answer
    x = 157.73

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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.