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Finding the Fourth Proportional to 240.26, 359.93 and 214.46

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Solution

The fourth proportional to 240.26, 359.93 and 214.46 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.26 : 359.93 = 214.46 : x
  2. Step 2: Convert to fraction form
    240.26/359.93 = 214.46/x
  3. Step 3: Cross multiply
    240.26x = 359.93 × 214.46
  4. Step 4: Simplify right side
    240.26x = 77,190.42
  5. Step 5: Solve for x
    x = 77,190.42/240.26
  6. Step 6: Final answer
    x = 321.28

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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.