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Finding the Fourth Proportional to 202.68, 303.44 and 189.92

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Solution

The fourth proportional to 202.68, 303.44 and 189.92 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 303.44 = 189.92 : x
  2. Step 2: Convert to fraction form
    202.68/303.44 = 189.92/x
  3. Step 3: Cross multiply
    202.68x = 303.44 × 189.92
  4. Step 4: Simplify right side
    202.68x = 57,629.32
  5. Step 5: Solve for x
    x = 57,629.32/202.68
  6. Step 6: Final answer
    x = 284.34

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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.