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Finding the Fourth Proportional to 341.33, 471.02 and 193.97

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Solution

The fourth proportional to 341.33, 471.02 and 193.97 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.33 : 471.02 = 193.97 : x
  2. Step 2: Convert to fraction form
    341.33/471.02 = 193.97/x
  3. Step 3: Cross multiply
    341.33x = 471.02 × 193.97
  4. Step 4: Simplify right side
    341.33x = 91,360.42
  5. Step 5: Solve for x
    x = 91,360.42/341.33
  6. Step 6: Final answer
    x = 267.66

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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.