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Finding the Fourth Proportional to 225.60, 338.16 and 164.66

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Solution

The fourth proportional to 225.60, 338.16 and 164.66 is: 246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 338.16 = 164.66 : x
  2. Step 2: Convert to fraction form
    225.60/338.16 = 164.66/x
  3. Step 3: Cross multiply
    225.60x = 338.16 × 164.66
  4. Step 4: Simplify right side
    225.60x = 55,681.43
  5. Step 5: Solve for x
    x = 55,681.43/225.60
  6. Step 6: Final answer
    x = 246.81

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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.