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Finding the Fourth Proportional to 225.24, 338.10 and 164.16

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Solution

The fourth proportional to 225.24, 338.10 and 164.16 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 338.10 = 164.16 : x
  2. Step 2: Convert to fraction form
    225.24/338.10 = 164.16/x
  3. Step 3: Cross multiply
    225.24x = 338.10 × 164.16
  4. Step 4: Simplify right side
    225.24x = 55,502.50
  5. Step 5: Solve for x
    x = 55,502.50/225.24
  6. Step 6: Final answer
    x = 246.41

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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.