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Finding the Fourth Proportional to 176.78, 243.41 and 164.84

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Solution

The fourth proportional to 176.78, 243.41 and 164.84 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 243.41 = 164.84 : x
  2. Step 2: Convert to fraction form
    176.78/243.41 = 164.84/x
  3. Step 3: Cross multiply
    176.78x = 243.41 × 164.84
  4. Step 4: Simplify right side
    176.78x = 40,121.66
  5. Step 5: Solve for x
    x = 40,121.66/176.78
  6. Step 6: Final answer
    x = 226.95

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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.