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Finding the Fourth Proportional to 225.83, 338.77 and 104.13

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Solution

The fourth proportional to 225.83, 338.77 and 104.13 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.83 : 338.77 = 104.13 : x
  2. Step 2: Convert to fraction form
    225.83/338.77 = 104.13/x
  3. Step 3: Cross multiply
    225.83x = 338.77 × 104.13
  4. Step 4: Simplify right side
    225.83x = 35,276.25
  5. Step 5: Solve for x
    x = 35,276.25/225.83
  6. Step 6: Final answer
    x = 156.21

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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.