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Finding the Fourth Proportional to 240.20, 359.34 and 214.22

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Solution

The fourth proportional to 240.20, 359.34 and 214.22 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.20 : 359.34 = 214.22 : x
  2. Step 2: Convert to fraction form
    240.20/359.34 = 214.22/x
  3. Step 3: Cross multiply
    240.20x = 359.34 × 214.22
  4. Step 4: Simplify right side
    240.20x = 76,976.02
  5. Step 5: Solve for x
    x = 76,976.02/240.20
  6. Step 6: Final answer
    x = 320.47

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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.