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Finding the Fourth Proportional to 199.49, 275.45 and 137.52

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Solution

The fourth proportional to 199.49, 275.45 and 137.52 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 275.45 = 137.52 : x
  2. Step 2: Convert to fraction form
    199.49/275.45 = 137.52/x
  3. Step 3: Cross multiply
    199.49x = 275.45 × 137.52
  4. Step 4: Simplify right side
    199.49x = 37,879.20
  5. Step 5: Solve for x
    x = 37,879.20/199.49
  6. Step 6: Final answer
    x = 189.88

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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.