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Finding the Fourth Proportional to 199.39, 274.78 and 141.07

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Solution

The fourth proportional to 199.39, 274.78 and 141.07 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.39 : 274.78 = 141.07 : x
  2. Step 2: Convert to fraction form
    199.39/274.78 = 141.07/x
  3. Step 3: Cross multiply
    199.39x = 274.78 × 141.07
  4. Step 4: Simplify right side
    199.39x = 38,763.21
  5. Step 5: Solve for x
    x = 38,763.21/199.39
  6. Step 6: Final answer
    x = 194.41

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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.