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Finding the Fourth Proportional to 262.22, 362.04 and 164.02

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Solution

The fourth proportional to 262.22, 362.04 and 164.02 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.22 : 362.04 = 164.02 : x
  2. Step 2: Convert to fraction form
    262.22/362.04 = 164.02/x
  3. Step 3: Cross multiply
    262.22x = 362.04 × 164.02
  4. Step 4: Simplify right side
    262.22x = 59,379.58
  5. Step 5: Solve for x
    x = 59,379.58/262.22
  6. Step 6: Final answer
    x = 226.45

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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.