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Finding the Fourth Proportional to 341.37, 511.00 and 196.65

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Solution

The fourth proportional to 341.37, 511.00 and 196.65 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.37 : 511.00 = 196.65 : x
  2. Step 2: Convert to fraction form
    341.37/511.00 = 196.65/x
  3. Step 3: Cross multiply
    341.37x = 511.00 × 196.65
  4. Step 4: Simplify right side
    341.37x = 100,487.66
  5. Step 5: Solve for x
    x = 100,487.66/341.37
  6. Step 6: Final answer
    x = 294.37

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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.