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Finding the Fourth Proportional to 262.98, 362.51 and 164.56

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Solution

The fourth proportional to 262.98, 362.51 and 164.56 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 362.51 = 164.56 : x
  2. Step 2: Convert to fraction form
    262.98/362.51 = 164.56/x
  3. Step 3: Cross multiply
    262.98x = 362.51 × 164.56
  4. Step 4: Simplify right side
    262.98x = 59,654.65
  5. Step 5: Solve for x
    x = 59,654.65/262.98
  6. Step 6: Final answer
    x = 226.84

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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.