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Finding the Fourth Proportional to 262.61, 362.31 and 164.33

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Solution

The fourth proportional to 262.61, 362.31 and 164.33 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.61 : 362.31 = 164.33 : x
  2. Step 2: Convert to fraction form
    262.61/362.31 = 164.33/x
  3. Step 3: Cross multiply
    262.61x = 362.31 × 164.33
  4. Step 4: Simplify right side
    262.61x = 59,538.40
  5. Step 5: Solve for x
    x = 59,538.40/262.61
  6. Step 6: Final answer
    x = 226.72

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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.