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Finding the Fourth Proportional to 193.37, 266.85 and 106.04

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Solution

The fourth proportional to 193.37, 266.85 and 106.04 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.37 : 266.85 = 106.04 : x
  2. Step 2: Convert to fraction form
    193.37/266.85 = 106.04/x
  3. Step 3: Cross multiply
    193.37x = 266.85 × 106.04
  4. Step 4: Simplify right side
    193.37x = 28,296.77
  5. Step 5: Solve for x
    x = 28,296.77/193.37
  6. Step 6: Final answer
    x = 146.33

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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.