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Finding the Fourth Proportional to 229.11, 315.78 and 216.80

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Solution

The fourth proportional to 229.11, 315.78 and 216.80 is: 298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.11 : 315.78 = 216.80 : x
  2. Step 2: Convert to fraction form
    229.11/315.78 = 216.80/x
  3. Step 3: Cross multiply
    229.11x = 315.78 × 216.80
  4. Step 4: Simplify right side
    229.11x = 68,459.53
  5. Step 5: Solve for x
    x = 68,459.53/229.11
  6. Step 6: Final answer
    x = 298.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.