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Finding the Fourth Proportional to 342.38, 471.94 and 231.66

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Solution

The fourth proportional to 342.38, 471.94 and 231.66 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 471.94 = 231.66 : x
  2. Step 2: Convert to fraction form
    342.38/471.94 = 231.66/x
  3. Step 3: Cross multiply
    342.38x = 471.94 × 231.66
  4. Step 4: Simplify right side
    342.38x = 109,329.04
  5. Step 5: Solve for x
    x = 109,329.04/342.38
  6. Step 6: Final answer
    x = 319.32

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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.