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Finding the Fourth Proportional to 164.25, 227.52 and 160.47

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Solution

The fourth proportional to 164.25, 227.52 and 160.47 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 227.52 = 160.47 : x
  2. Step 2: Convert to fraction form
    164.25/227.52 = 160.47/x
  3. Step 3: Cross multiply
    164.25x = 227.52 × 160.47
  4. Step 4: Simplify right side
    164.25x = 36,510.13
  5. Step 5: Solve for x
    x = 36,510.13/164.25
  6. Step 6: Final answer
    x = 222.28

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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.