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Finding the Fourth Proportional to 202.20, 303.14 and 150.66

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Solution

The fourth proportional to 202.20, 303.14 and 150.66 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 303.14 = 150.66 : x
  2. Step 2: Convert to fraction form
    202.20/303.14 = 150.66/x
  3. Step 3: Cross multiply
    202.20x = 303.14 × 150.66
  4. Step 4: Simplify right side
    202.20x = 45,671.45
  5. Step 5: Solve for x
    x = 45,671.45/202.20
  6. Step 6: Final answer
    x = 225.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.