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Finding the Fourth Proportional to 341.89, 471.83 and 194.56

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Solution

The fourth proportional to 341.89, 471.83 and 194.56 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.89 : 471.83 = 194.56 : x
  2. Step 2: Convert to fraction form
    341.89/471.83 = 194.56/x
  3. Step 3: Cross multiply
    341.89x = 471.83 × 194.56
  4. Step 4: Simplify right side
    341.89x = 91,795.91
  5. Step 5: Solve for x
    x = 91,795.91/341.89
  6. Step 6: Final answer
    x = 268.50

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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.