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Finding the Fourth Proportional to 199.23, 274.79 and 133.71

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Solution

The fourth proportional to 199.23, 274.79 and 133.71 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 274.79 = 133.71 : x
  2. Step 2: Convert to fraction form
    199.23/274.79 = 133.71/x
  3. Step 3: Cross multiply
    199.23x = 274.79 × 133.71
  4. Step 4: Simplify right side
    199.23x = 36,741.50
  5. Step 5: Solve for x
    x = 36,741.50/199.23
  6. Step 6: Final answer
    x = 184.42

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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.