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Finding the Fourth Proportional to 225.53, 338.29 and 109.95

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Solution

The fourth proportional to 225.53, 338.29 and 109.95 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 338.29 = 109.95 : x
  2. Step 2: Convert to fraction form
    225.53/338.29 = 109.95/x
  3. Step 3: Cross multiply
    225.53x = 338.29 × 109.95
  4. Step 4: Simplify right side
    225.53x = 37,194.99
  5. Step 5: Solve for x
    x = 37,194.99/225.53
  6. Step 6: Final answer
    x = 164.92

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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.