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Finding the Fourth Proportional to 163.17, 225.30 and 133.65

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Solution

The fourth proportional to 163.17, 225.30 and 133.65 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.17 : 225.30 = 133.65 : x
  2. Step 2: Convert to fraction form
    163.17/225.30 = 133.65/x
  3. Step 3: Cross multiply
    163.17x = 225.30 × 133.65
  4. Step 4: Simplify right side
    163.17x = 30,111.35
  5. Step 5: Solve for x
    x = 30,111.35/163.17
  6. Step 6: Final answer
    x = 184.54

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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.