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Finding the Fourth Proportional to 233.50, 352.27 and 227.02

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Solution

The fourth proportional to 233.50, 352.27 and 227.02 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 352.27 = 227.02 : x
  2. Step 2: Convert to fraction form
    233.50/352.27 = 227.02/x
  3. Step 3: Cross multiply
    233.50x = 352.27 × 227.02
  4. Step 4: Simplify right side
    233.50x = 79,972.34
  5. Step 5: Solve for x
    x = 79,972.34/233.50
  6. Step 6: Final answer
    x = 342.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.