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Finding the Fourth Proportional to 341.85, 471.86 and 194.50

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Solution

The fourth proportional to 341.85, 471.86 and 194.50 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.85 : 471.86 = 194.50 : x
  2. Step 2: Convert to fraction form
    341.85/471.86 = 194.50/x
  3. Step 3: Cross multiply
    341.85x = 471.86 × 194.50
  4. Step 4: Simplify right side
    341.85x = 91,777.12
  5. Step 5: Solve for x
    x = 91,777.12/341.85
  6. Step 6: Final answer
    x = 268.47

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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.