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Finding the Fourth Proportional to 163.51, 225.75 and 149.64

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Solution

The fourth proportional to 163.51, 225.75 and 149.64 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.51 : 225.75 = 149.64 : x
  2. Step 2: Convert to fraction form
    163.51/225.75 = 149.64/x
  3. Step 3: Cross multiply
    163.51x = 225.75 × 149.64
  4. Step 4: Simplify right side
    163.51x = 33,781.23
  5. Step 5: Solve for x
    x = 33,781.23/163.51
  6. Step 6: Final answer
    x = 206.60

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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.