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Finding the Fourth Proportional to 225.20, 337.56 and 109.64

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Solution

The fourth proportional to 225.20, 337.56 and 109.64 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.20 : 337.56 = 109.64 : x
  2. Step 2: Convert to fraction form
    225.20/337.56 = 109.64/x
  3. Step 3: Cross multiply
    225.20x = 337.56 × 109.64
  4. Step 4: Simplify right side
    225.20x = 37,010.08
  5. Step 5: Solve for x
    x = 37,010.08/225.20
  6. Step 6: Final answer
    x = 164.34

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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.