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Finding the Fourth Proportional to 341.45, 471.15 and 194.10

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Solution

The fourth proportional to 341.45, 471.15 and 194.10 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.45 : 471.15 = 194.10 : x
  2. Step 2: Convert to fraction form
    341.45/471.15 = 194.10/x
  3. Step 3: Cross multiply
    341.45x = 471.15 × 194.10
  4. Step 4: Simplify right side
    341.45x = 91,447.86
  5. Step 5: Solve for x
    x = 91,447.86/341.45
  6. Step 6: Final answer
    x = 267.83

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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.