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Finding the Fourth Proportional to 193.14, 266.53 and 105.82

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Solution

The fourth proportional to 193.14, 266.53 and 105.82 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 266.53 = 105.82 : x
  2. Step 2: Convert to fraction form
    193.14/266.53 = 105.82/x
  3. Step 3: Cross multiply
    193.14x = 266.53 × 105.82
  4. Step 4: Simplify right side
    193.14x = 28,202.34
  5. Step 5: Solve for x
    x = 28,202.34/193.14
  6. Step 6: Final answer
    x = 146.02

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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.