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Finding the Fourth Proportional to 227.53, 311.64 and 214.23

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Solution

The fourth proportional to 227.53, 311.64 and 214.23 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 311.64 = 214.23 : x
  2. Step 2: Convert to fraction form
    227.53/311.64 = 214.23/x
  3. Step 3: Cross multiply
    227.53x = 311.64 × 214.23
  4. Step 4: Simplify right side
    227.53x = 66,762.64
  5. Step 5: Solve for x
    x = 66,762.64/227.53
  6. Step 6: Final answer
    x = 293.42

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Why These Related Problems?

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