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Finding the Fourth Proportional to 199.41, 274.89 and 174.57

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Solution

The fourth proportional to 199.41, 274.89 and 174.57 is: 240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 274.89 = 174.57 : x
  2. Step 2: Convert to fraction form
    199.41/274.89 = 174.57/x
  3. Step 3: Cross multiply
    199.41x = 274.89 × 174.57
  4. Step 4: Simplify right side
    199.41x = 47,987.55
  5. Step 5: Solve for x
    x = 47,987.55/199.41
  6. Step 6: Final answer
    x = 240.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.