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Finding the Fourth Proportional to 199.91, 275.99 and 134.50

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Solution

The fourth proportional to 199.91, 275.99 and 134.50 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.91 : 275.99 = 134.50 : x
  2. Step 2: Convert to fraction form
    199.91/275.99 = 134.50/x
  3. Step 3: Cross multiply
    199.91x = 275.99 × 134.50
  4. Step 4: Simplify right side
    199.91x = 37,120.66
  5. Step 5: Solve for x
    x = 37,120.66/199.91
  6. Step 6: Final answer
    x = 185.69

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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.