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Finding the Fourth Proportional to 202.36, 303.74 and 111.16

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Solution

The fourth proportional to 202.36, 303.74 and 111.16 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.36 : 303.74 = 111.16 : x
  2. Step 2: Convert to fraction form
    202.36/303.74 = 111.16/x
  3. Step 3: Cross multiply
    202.36x = 303.74 × 111.16
  4. Step 4: Simplify right side
    202.36x = 33,763.74
  5. Step 5: Solve for x
    x = 33,763.74/202.36
  6. Step 6: Final answer
    x = 166.85

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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.