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Finding the Fourth Proportional to 199.16, 274.78 and 125.46

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Solution

The fourth proportional to 199.16, 274.78 and 125.46 is: 173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.16 : 274.78 = 125.46 : x
  2. Step 2: Convert to fraction form
    199.16/274.78 = 125.46/x
  3. Step 3: Cross multiply
    199.16x = 274.78 × 125.46
  4. Step 4: Simplify right side
    199.16x = 34,473.90
  5. Step 5: Solve for x
    x = 34,473.90/199.16
  6. Step 6: Final answer
    x = 173.10

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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.