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Finding the Fourth Proportional to 341.60, 511.19 and 196.61

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Solution

The fourth proportional to 341.60, 511.19 and 196.61 is: 294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.60 : 511.19 = 196.61 : x
  2. Step 2: Convert to fraction form
    341.60/511.19 = 196.61/x
  3. Step 3: Cross multiply
    341.60x = 511.19 × 196.61
  4. Step 4: Simplify right side
    341.60x = 100,504.08
  5. Step 5: Solve for x
    x = 100,504.08/341.60
  6. Step 6: Final answer
    x = 294.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.