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Finding the Fourth Proportional to 341.67, 471.47 and 194.32

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Solution

The fourth proportional to 341.67, 471.47 and 194.32 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.67 : 471.47 = 194.32 : x
  2. Step 2: Convert to fraction form
    341.67/471.47 = 194.32/x
  3. Step 3: Cross multiply
    341.67x = 471.47 × 194.32
  4. Step 4: Simplify right side
    341.67x = 91,616.05
  5. Step 5: Solve for x
    x = 91,616.05/341.67
  6. Step 6: Final answer
    x = 268.14

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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.