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Finding the Fourth Proportional to 231.23, 318.93 and 164.82

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Solution

The fourth proportional to 231.23, 318.93 and 164.82 is: 227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.23 : 318.93 = 164.82 : x
  2. Step 2: Convert to fraction form
    231.23/318.93 = 164.82/x
  3. Step 3: Cross multiply
    231.23x = 318.93 × 164.82
  4. Step 4: Simplify right side
    231.23x = 52,566.04
  5. Step 5: Solve for x
    x = 52,566.04/231.23
  6. Step 6: Final answer
    x = 227.33

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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.