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Finding the Fourth Proportional to 233.21, 320.86 and 227.75

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Solution

The fourth proportional to 233.21, 320.86 and 227.75 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 320.86 = 227.75 : x
  2. Step 2: Convert to fraction form
    233.21/320.86 = 227.75/x
  3. Step 3: Cross multiply
    233.21x = 320.86 × 227.75
  4. Step 4: Simplify right side
    233.21x = 73,074.55
  5. Step 5: Solve for x
    x = 73,074.55/233.21
  6. Step 6: Final answer
    x = 313.34

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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.