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Finding the Fourth Proportional to 199.91, 275.71 and 173.99

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Solution

The fourth proportional to 199.91, 275.71 and 173.99 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.91 : 275.71 = 173.99 : x
  2. Step 2: Convert to fraction form
    199.91/275.71 = 173.99/x
  3. Step 3: Cross multiply
    199.91x = 275.71 × 173.99
  4. Step 4: Simplify right side
    199.91x = 47,970.78
  5. Step 5: Solve for x
    x = 47,970.78/199.91
  6. Step 6: Final answer
    x = 239.96

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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.