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Finding the Fourth Proportional to 225.04, 337.64 and 107.97

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Solution

The fourth proportional to 225.04, 337.64 and 107.97 is: 161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.04 : 337.64 = 107.97 : x
  2. Step 2: Convert to fraction form
    225.04/337.64 = 107.97/x
  3. Step 3: Cross multiply
    225.04x = 337.64 × 107.97
  4. Step 4: Simplify right side
    225.04x = 36,454.99
  5. Step 5: Solve for x
    x = 36,454.99/225.04
  6. Step 6: Final answer
    x = 161.99

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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.