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Finding the Fourth Proportional to 340.80, 470.19 and 213.03

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Solution

The fourth proportional to 340.80, 470.19 and 213.03 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.80 : 470.19 = 213.03 : x
  2. Step 2: Convert to fraction form
    340.80/470.19 = 213.03/x
  3. Step 3: Cross multiply
    340.80x = 470.19 × 213.03
  4. Step 4: Simplify right side
    340.80x = 100,164.58
  5. Step 5: Solve for x
    x = 100,164.58/340.80
  6. Step 6: Final answer
    x = 293.91

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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.