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Finding the Fourth Proportional to 248.27, 342.63 and 164.43

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Solution

The fourth proportional to 248.27, 342.63 and 164.43 is: 226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.27 : 342.63 = 164.43 : x
  2. Step 2: Convert to fraction form
    248.27/342.63 = 164.43/x
  3. Step 3: Cross multiply
    248.27x = 342.63 × 164.43
  4. Step 4: Simplify right side
    248.27x = 56,338.65
  5. Step 5: Solve for x
    x = 56,338.65/248.27
  6. Step 6: Final answer
    x = 226.93

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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.