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Finding the Fourth Proportional to 193.02, 266.36 and 105.69

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Solution

The fourth proportional to 193.02, 266.36 and 105.69 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 266.36 = 105.69 : x
  2. Step 2: Convert to fraction form
    193.02/266.36 = 105.69/x
  3. Step 3: Cross multiply
    193.02x = 266.36 × 105.69
  4. Step 4: Simplify right side
    193.02x = 28,151.59
  5. Step 5: Solve for x
    x = 28,151.59/193.02
  6. Step 6: Final answer
    x = 145.85

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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.