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Finding the Fourth Proportional to 334.21, 460.92 and 223.60

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Solution

The fourth proportional to 334.21, 460.92 and 223.60 is: 308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.21 : 460.92 = 223.60 : x
  2. Step 2: Convert to fraction form
    334.21/460.92 = 223.60/x
  3. Step 3: Cross multiply
    334.21x = 460.92 × 223.60
  4. Step 4: Simplify right side
    334.21x = 103,061.71
  5. Step 5: Solve for x
    x = 103,061.71/334.21
  6. Step 6: Final answer
    x = 308.37

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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.