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Finding the Fourth Proportional to 199.47, 274.68 and 194.92

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Solution

The fourth proportional to 199.47, 274.68 and 194.92 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.47 : 274.68 = 194.92 : x
  2. Step 2: Convert to fraction form
    199.47/274.68 = 194.92/x
  3. Step 3: Cross multiply
    199.47x = 274.68 × 194.92
  4. Step 4: Simplify right side
    199.47x = 53,541.25
  5. Step 5: Solve for x
    x = 53,541.25/199.47
  6. Step 6: Final answer
    x = 268.41

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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.