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Finding the Fourth Proportional to 202.81, 280.04 and 192.61

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Solution

The fourth proportional to 202.81, 280.04 and 192.61 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.81 : 280.04 = 192.61 : x
  2. Step 2: Convert to fraction form
    202.81/280.04 = 192.61/x
  3. Step 3: Cross multiply
    202.81x = 280.04 × 192.61
  4. Step 4: Simplify right side
    202.81x = 53,938.50
  5. Step 5: Solve for x
    x = 53,938.50/202.81
  6. Step 6: Final answer
    x = 265.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.