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Finding the Fourth Proportional to 164.31, 225.12 and 162.13

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Solution

The fourth proportional to 164.31, 225.12 and 162.13 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 225.12 = 162.13 : x
  2. Step 2: Convert to fraction form
    164.31/225.12 = 162.13/x
  3. Step 3: Cross multiply
    164.31x = 225.12 × 162.13
  4. Step 4: Simplify right side
    164.31x = 36,498.71
  5. Step 5: Solve for x
    x = 36,498.71/164.31
  6. Step 6: Final answer
    x = 222.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.