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Finding the Fourth Proportional to 341.81, 471.67 and 194.44

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Solution

The fourth proportional to 341.81, 471.67 and 194.44 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.81 : 471.67 = 194.44 : x
  2. Step 2: Convert to fraction form
    341.81/471.67 = 194.44/x
  3. Step 3: Cross multiply
    341.81x = 471.67 × 194.44
  4. Step 4: Simplify right side
    341.81x = 91,711.51
  5. Step 5: Solve for x
    x = 91,711.51/341.81
  6. Step 6: Final answer
    x = 268.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.