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Finding the Fourth Proportional to 205.42, 305.35 and 199.28

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Solution

The fourth proportional to 205.42, 305.35 and 199.28 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 305.35 = 199.28 : x
  2. Step 2: Convert to fraction form
    205.42/305.35 = 199.28/x
  3. Step 3: Cross multiply
    205.42x = 305.35 × 199.28
  4. Step 4: Simplify right side
    205.42x = 60,849.12
  5. Step 5: Solve for x
    x = 60,849.12/205.42
  6. Step 6: Final answer
    x = 296.22

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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.