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Finding the Fourth Proportional to 227.53, 313.95 and 216.91

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Solution

The fourth proportional to 227.53, 313.95 and 216.91 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 313.95 = 216.91 : x
  2. Step 2: Convert to fraction form
    227.53/313.95 = 216.91/x
  3. Step 3: Cross multiply
    227.53x = 313.95 × 216.91
  4. Step 4: Simplify right side
    227.53x = 68,098.89
  5. Step 5: Solve for x
    x = 68,098.89/227.53
  6. Step 6: Final answer
    x = 299.30

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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.