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Finding the Fourth Proportional to 199.34, 275.22 and 140.42

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Solution

The fourth proportional to 199.34, 275.22 and 140.42 is: 193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 275.22 = 140.42 : x
  2. Step 2: Convert to fraction form
    199.34/275.22 = 140.42/x
  3. Step 3: Cross multiply
    199.34x = 275.22 × 140.42
  4. Step 4: Simplify right side
    199.34x = 38,646.39
  5. Step 5: Solve for x
    x = 38,646.39/199.34
  6. Step 6: Final answer
    x = 193.87

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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.