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Finding the Fourth Proportional to 225.88, 313.42 and 216.74

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Solution

The fourth proportional to 225.88, 313.42 and 216.74 is: 300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.88 : 313.42 = 216.74 : x
  2. Step 2: Convert to fraction form
    225.88/313.42 = 216.74/x
  3. Step 3: Cross multiply
    225.88x = 313.42 × 216.74
  4. Step 4: Simplify right side
    225.88x = 67,930.65
  5. Step 5: Solve for x
    x = 67,930.65/225.88
  6. Step 6: Final answer
    x = 300.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.