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Finding the Fourth Proportional to 202.86, 280.53 and 199.22

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Solution

The fourth proportional to 202.86, 280.53 and 199.22 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 280.53 = 199.22 : x
  2. Step 2: Convert to fraction form
    202.86/280.53 = 199.22/x
  3. Step 3: Cross multiply
    202.86x = 280.53 × 199.22
  4. Step 4: Simplify right side
    202.86x = 55,885.78
  5. Step 5: Solve for x
    x = 55,885.78/202.86
  6. Step 6: Final answer
    x = 275.49

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Why These Related Problems?

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