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Finding the Fourth Proportional to 164.63, 227.08 and 133.55

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Solution

The fourth proportional to 164.63, 227.08 and 133.55 is: 184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 227.08 = 133.55 : x
  2. Step 2: Convert to fraction form
    164.63/227.08 = 133.55/x
  3. Step 3: Cross multiply
    164.63x = 227.08 × 133.55
  4. Step 4: Simplify right side
    164.63x = 30,325.63
  5. Step 5: Solve for x
    x = 30,325.63/164.63
  6. Step 6: Final answer
    x = 184.20

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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.