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Finding the Fourth Proportional to 202.20, 278.84 and 134.76

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Solution

The fourth proportional to 202.20, 278.84 and 134.76 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 278.84 = 134.76 : x
  2. Step 2: Convert to fraction form
    202.20/278.84 = 134.76/x
  3. Step 3: Cross multiply
    202.20x = 278.84 × 134.76
  4. Step 4: Simplify right side
    202.20x = 37,577.86
  5. Step 5: Solve for x
    x = 37,577.86/202.20
  6. Step 6: Final answer
    x = 185.85

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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.