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Finding the Fourth Proportional to 262.58, 362.49 and 164.66

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Solution

The fourth proportional to 262.58, 362.49 and 164.66 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 362.49 = 164.66 : x
  2. Step 2: Convert to fraction form
    262.58/362.49 = 164.66/x
  3. Step 3: Cross multiply
    262.58x = 362.49 × 164.66
  4. Step 4: Simplify right side
    262.58x = 59,687.60
  5. Step 5: Solve for x
    x = 59,687.60/262.58
  6. Step 6: Final answer
    x = 227.31

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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.