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Finding the Fourth Proportional to 163.67, 225.81 and 146.07

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Solution

The fourth proportional to 163.67, 225.81 and 146.07 is: 201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.67 : 225.81 = 146.07 : x
  2. Step 2: Convert to fraction form
    163.67/225.81 = 146.07/x
  3. Step 3: Cross multiply
    163.67x = 225.81 × 146.07
  4. Step 4: Simplify right side
    163.67x = 32,984.07
  5. Step 5: Solve for x
    x = 32,984.07/163.67
  6. Step 6: Final answer
    x = 201.53

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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.