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Finding the Fourth Proportional to 202.92, 280.02 and 114.39

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Solution

The fourth proportional to 202.92, 280.02 and 114.39 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 280.02 = 114.39 : x
  2. Step 2: Convert to fraction form
    202.92/280.02 = 114.39/x
  3. Step 3: Cross multiply
    202.92x = 280.02 × 114.39
  4. Step 4: Simplify right side
    202.92x = 32,031.49
  5. Step 5: Solve for x
    x = 32,031.49/202.92
  6. Step 6: Final answer
    x = 157.85

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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.