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Finding the Fourth Proportional to 341.31, 470.99 and 193.92

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Solution

The fourth proportional to 341.31, 470.99 and 193.92 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 470.99 = 193.92 : x
  2. Step 2: Convert to fraction form
    341.31/470.99 = 193.92/x
  3. Step 3: Cross multiply
    341.31x = 470.99 × 193.92
  4. Step 4: Simplify right side
    341.31x = 91,331.65
  5. Step 5: Solve for x
    x = 91,331.65/341.31
  6. Step 6: Final answer
    x = 267.59

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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.