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Finding the Fourth Proportional to 225.83, 311.71 and 138.58

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Solution

The fourth proportional to 225.83, 311.71 and 138.58 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.83 : 311.71 = 138.58 : x
  2. Step 2: Convert to fraction form
    225.83/311.71 = 138.58/x
  3. Step 3: Cross multiply
    225.83x = 311.71 × 138.58
  4. Step 4: Simplify right side
    225.83x = 43,195.65
  5. Step 5: Solve for x
    x = 43,195.65/225.83
  6. Step 6: Final answer
    x = 191.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.