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Finding the Fourth Proportional to 225.27, 308.64 and 223.14

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Solution

The fourth proportional to 225.27, 308.64 and 223.14 is: 305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.27 : 308.64 = 223.14 : x
  2. Step 2: Convert to fraction form
    225.27/308.64 = 223.14/x
  3. Step 3: Cross multiply
    225.27x = 308.64 × 223.14
  4. Step 4: Simplify right side
    225.27x = 68,869.93
  5. Step 5: Solve for x
    x = 68,869.93/225.27
  6. Step 6: Final answer
    x = 305.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.