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Finding the Fourth Proportional to 199.14, 274.82 and 133.77

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Solution

The fourth proportional to 199.14, 274.82 and 133.77 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 274.82 = 133.77 : x
  2. Step 2: Convert to fraction form
    199.14/274.82 = 133.77/x
  3. Step 3: Cross multiply
    199.14x = 274.82 × 133.77
  4. Step 4: Simplify right side
    199.14x = 36,762.67
  5. Step 5: Solve for x
    x = 36,762.67/199.14
  6. Step 6: Final answer
    x = 184.61

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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.