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Finding the Fourth Proportional to 193.11, 266.27 and 189.06

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Solution

The fourth proportional to 193.11, 266.27 and 189.06 is: 260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 266.27 = 189.06 : x
  2. Step 2: Convert to fraction form
    193.11/266.27 = 189.06/x
  3. Step 3: Cross multiply
    193.11x = 266.27 × 189.06
  4. Step 4: Simplify right side
    193.11x = 50,340.06
  5. Step 5: Solve for x
    x = 50,340.06/193.11
  6. Step 6: Final answer
    x = 260.68

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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.