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Finding the Fourth Proportional to 164.16, 227.43 and 160.92

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Solution

The fourth proportional to 164.16, 227.43 and 160.92 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 227.43 = 160.92 : x
  2. Step 2: Convert to fraction form
    164.16/227.43 = 160.92/x
  3. Step 3: Cross multiply
    164.16x = 227.43 × 160.92
  4. Step 4: Simplify right side
    164.16x = 36,598.04
  5. Step 5: Solve for x
    x = 36,598.04/164.16
  6. Step 6: Final answer
    x = 222.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.