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Finding the Fourth Proportional to 202.85, 279.92 and 114.34

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Solution

The fourth proportional to 202.85, 279.92 and 114.34 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.85 : 279.92 = 114.34 : x
  2. Step 2: Convert to fraction form
    202.85/279.92 = 114.34/x
  3. Step 3: Cross multiply
    202.85x = 279.92 × 114.34
  4. Step 4: Simplify right side
    202.85x = 32,005.64
  5. Step 5: Solve for x
    x = 32,005.64/202.85
  6. Step 6: Final answer
    x = 157.78

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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.