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Finding the Fourth Proportional to 202.26, 303.66 and 115.68

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Solution

The fourth proportional to 202.26, 303.66 and 115.68 is: 173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.26 : 303.66 = 115.68 : x
  2. Step 2: Convert to fraction form
    202.26/303.66 = 115.68/x
  3. Step 3: Cross multiply
    202.26x = 303.66 × 115.68
  4. Step 4: Simplify right side
    202.26x = 35,127.39
  5. Step 5: Solve for x
    x = 35,127.39/202.26
  6. Step 6: Final answer
    x = 173.67

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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.