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Finding the Fourth Proportional to 202.22, 301.32 and 192.42

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Solution

The fourth proportional to 202.22, 301.32 and 192.42 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 301.32 = 192.42 : x
  2. Step 2: Convert to fraction form
    202.22/301.32 = 192.42/x
  3. Step 3: Cross multiply
    202.22x = 301.32 × 192.42
  4. Step 4: Simplify right side
    202.22x = 57,979.03
  5. Step 5: Solve for x
    x = 57,979.03/202.22
  6. Step 6: Final answer
    x = 286.72

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Why These Related Problems?

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