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Finding the Fourth Proportional to 199.12, 274.71 and 133.66

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Solution

The fourth proportional to 199.12, 274.71 and 133.66 is: 184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.12 : 274.71 = 133.66 : x
  2. Step 2: Convert to fraction form
    199.12/274.71 = 133.66/x
  3. Step 3: Cross multiply
    199.12x = 274.71 × 133.66
  4. Step 4: Simplify right side
    199.12x = 36,717.74
  5. Step 5: Solve for x
    x = 36,717.74/199.12
  6. Step 6: Final answer
    x = 184.40

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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.