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Finding the Fourth Proportional to 163.64, 226.14 and 145.64

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Solution

The fourth proportional to 163.64, 226.14 and 145.64 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.64 : 226.14 = 145.64 : x
  2. Step 2: Convert to fraction form
    163.64/226.14 = 145.64/x
  3. Step 3: Cross multiply
    163.64x = 226.14 × 145.64
  4. Step 4: Simplify right side
    163.64x = 32,935.03
  5. Step 5: Solve for x
    x = 32,935.03/163.64
  6. Step 6: Final answer
    x = 201.27

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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.