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Finding the Fourth Proportional to 193.89, 266.79 and 166.15

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Solution

The fourth proportional to 193.89, 266.79 and 166.15 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.89 : 266.79 = 166.15 : x
  2. Step 2: Convert to fraction form
    193.89/266.79 = 166.15/x
  3. Step 3: Cross multiply
    193.89x = 266.79 × 166.15
  4. Step 4: Simplify right side
    193.89x = 44,328.12
  5. Step 5: Solve for x
    x = 44,328.12/193.89
  6. Step 6: Final answer
    x = 228.62

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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.