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Finding the Fourth Proportional to 225.24, 311.12 and 181.72

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Solution

The fourth proportional to 225.24, 311.12 and 181.72 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 311.12 = 181.72 : x
  2. Step 2: Convert to fraction form
    225.24/311.12 = 181.72/x
  3. Step 3: Cross multiply
    225.24x = 311.12 × 181.72
  4. Step 4: Simplify right side
    225.24x = 56,536.73
  5. Step 5: Solve for x
    x = 56,536.73/225.24
  6. Step 6: Final answer
    x = 251.01

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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.