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Finding the Fourth Proportional to 202.04, 301.29 and 200.22

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Solution

The fourth proportional to 202.04, 301.29 and 200.22 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 301.29 = 200.22 : x
  2. Step 2: Convert to fraction form
    202.04/301.29 = 200.22/x
  3. Step 3: Cross multiply
    202.04x = 301.29 × 200.22
  4. Step 4: Simplify right side
    202.04x = 60,324.28
  5. Step 5: Solve for x
    x = 60,324.28/202.04
  6. Step 6: Final answer
    x = 298.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.