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Finding the Fourth Proportional to 225.51, 311.43 and 138.24

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Solution

The fourth proportional to 225.51, 311.43 and 138.24 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.51 : 311.43 = 138.24 : x
  2. Step 2: Convert to fraction form
    225.51/311.43 = 138.24/x
  3. Step 3: Cross multiply
    225.51x = 311.43 × 138.24
  4. Step 4: Simplify right side
    225.51x = 43,052.08
  5. Step 5: Solve for x
    x = 43,052.08/225.51
  6. Step 6: Final answer
    x = 190.91

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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.