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Finding the Fourth Proportional to 193.11, 266.36 and 144.15

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Solution

The fourth proportional to 193.11, 266.36 and 144.15 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 266.36 = 144.15 : x
  2. Step 2: Convert to fraction form
    193.11/266.36 = 144.15/x
  3. Step 3: Cross multiply
    193.11x = 266.36 × 144.15
  4. Step 4: Simplify right side
    193.11x = 38,395.07
  5. Step 5: Solve for x
    x = 38,395.07/193.11
  6. Step 6: Final answer
    x = 198.82

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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.