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Finding the Fourth Proportional to 199.52, 274.72 and 174.82

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Solution

The fourth proportional to 199.52, 274.72 and 174.82 is: 240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.52 : 274.72 = 174.82 : x
  2. Step 2: Convert to fraction form
    199.52/274.72 = 174.82/x
  3. Step 3: Cross multiply
    199.52x = 274.72 × 174.82
  4. Step 4: Simplify right side
    199.52x = 48,026.55
  5. Step 5: Solve for x
    x = 48,026.55/199.52
  6. Step 6: Final answer
    x = 240.71

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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.