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Finding the Fourth Proportional to 193.13, 266.44 and 114.44

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Solution

The fourth proportional to 193.13, 266.44 and 114.44 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.13 : 266.44 = 114.44 : x
  2. Step 2: Convert to fraction form
    193.13/266.44 = 114.44/x
  3. Step 3: Cross multiply
    193.13x = 266.44 × 114.44
  4. Step 4: Simplify right side
    193.13x = 30,491.39
  5. Step 5: Solve for x
    x = 30,491.39/193.13
  6. Step 6: Final answer
    x = 157.88

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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.