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Finding the Fourth Proportional to 233.49, 352.02 and 201.27

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Solution

The fourth proportional to 233.49, 352.02 and 201.27 is: 303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 352.02 = 201.27 : x
  2. Step 2: Convert to fraction form
    233.49/352.02 = 201.27/x
  3. Step 3: Cross multiply
    233.49x = 352.02 × 201.27
  4. Step 4: Simplify right side
    233.49x = 70,851.07
  5. Step 5: Solve for x
    x = 70,851.07/233.49
  6. Step 6: Final answer
    x = 303.44

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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.