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Finding the Fourth Proportional to 202.29, 303.12 and 180.62

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Solution

The fourth proportional to 202.29, 303.12 and 180.62 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.29 : 303.12 = 180.62 : x
  2. Step 2: Convert to fraction form
    202.29/303.12 = 180.62/x
  3. Step 3: Cross multiply
    202.29x = 303.12 × 180.62
  4. Step 4: Simplify right side
    202.29x = 54,749.53
  5. Step 5: Solve for x
    x = 54,749.53/202.29
  6. Step 6: Final answer
    x = 270.65

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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.