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Finding the Fourth Proportional to 225.54, 338.37 and 164.58

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Solution

The fourth proportional to 225.54, 338.37 and 164.58 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 338.37 = 164.58 : x
  2. Step 2: Convert to fraction form
    225.54/338.37 = 164.58/x
  3. Step 3: Cross multiply
    225.54x = 338.37 × 164.58
  4. Step 4: Simplify right side
    225.54x = 55,688.93
  5. Step 5: Solve for x
    x = 55,688.93/225.54
  6. Step 6: Final answer
    x = 246.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.