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Finding the Fourth Proportional to 176.22, 243.45 and 164.07

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Solution

The fourth proportional to 176.22, 243.45 and 164.07 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 243.45 = 164.07 : x
  2. Step 2: Convert to fraction form
    176.22/243.45 = 164.07/x
  3. Step 3: Cross multiply
    176.22x = 243.45 × 164.07
  4. Step 4: Simplify right side
    176.22x = 39,942.84
  5. Step 5: Solve for x
    x = 39,942.84/176.22
  6. Step 6: Final answer
    x = 226.66

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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.