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Finding the Fourth Proportional to 225.11, 337.15 and 164.09

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Solution

The fourth proportional to 225.11, 337.15 and 164.09 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.11 : 337.15 = 164.09 : x
  2. Step 2: Convert to fraction form
    225.11/337.15 = 164.09/x
  3. Step 3: Cross multiply
    225.11x = 337.15 × 164.09
  4. Step 4: Simplify right side
    225.11x = 55,322.94
  5. Step 5: Solve for x
    x = 55,322.94/225.11
  6. Step 6: Final answer
    x = 245.76

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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.