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Finding the Fourth Proportional to 202.42, 305.39 and 192.30

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Solution

The fourth proportional to 202.42, 305.39 and 192.30 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 305.39 = 192.30 : x
  2. Step 2: Convert to fraction form
    202.42/305.39 = 192.30/x
  3. Step 3: Cross multiply
    202.42x = 305.39 × 192.30
  4. Step 4: Simplify right side
    202.42x = 58,726.50
  5. Step 5: Solve for x
    x = 58,726.50/202.42
  6. Step 6: Final answer
    x = 290.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.