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Finding the Fourth Proportional to 341.09, 470.67 and 191.69

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Solution

The fourth proportional to 341.09, 470.67 and 191.69 is: 264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.09 : 470.67 = 191.69 : x
  2. Step 2: Convert to fraction form
    341.09/470.67 = 191.69/x
  3. Step 3: Cross multiply
    341.09x = 470.67 × 191.69
  4. Step 4: Simplify right side
    341.09x = 90,221.43
  5. Step 5: Solve for x
    x = 90,221.43/341.09
  6. Step 6: Final answer
    x = 264.51

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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.