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Finding the Fourth Proportional to 193.22, 266.64 and 105.90

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Solution

The fourth proportional to 193.22, 266.64 and 105.90 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.22 : 266.64 = 105.90 : x
  2. Step 2: Convert to fraction form
    193.22/266.64 = 105.90/x
  3. Step 3: Cross multiply
    193.22x = 266.64 × 105.90
  4. Step 4: Simplify right side
    193.22x = 28,237.18
  5. Step 5: Solve for x
    x = 28,237.18/193.22
  6. Step 6: Final answer
    x = 146.14

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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.