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Finding the Fourth Proportional to 225.89, 309.78 and 216.53

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Solution

The fourth proportional to 225.89, 309.78 and 216.53 is: 296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.89 : 309.78 = 216.53 : x
  2. Step 2: Convert to fraction form
    225.89/309.78 = 216.53/x
  3. Step 3: Cross multiply
    225.89x = 309.78 × 216.53
  4. Step 4: Simplify right side
    225.89x = 67,076.66
  5. Step 5: Solve for x
    x = 67,076.66/225.89
  6. Step 6: Final answer
    x = 296.94

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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.