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Finding the Fourth Proportional to 341.40, 471.16 and 194.08

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Solution

The fourth proportional to 341.40, 471.16 and 194.08 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.40 : 471.16 = 194.08 : x
  2. Step 2: Convert to fraction form
    341.40/471.16 = 194.08/x
  3. Step 3: Cross multiply
    341.40x = 471.16 × 194.08
  4. Step 4: Simplify right side
    341.40x = 91,442.73
  5. Step 5: Solve for x
    x = 91,442.73/341.40
  6. Step 6: Final answer
    x = 267.85

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Why These Related Problems?

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