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Finding the Fourth Proportional to 334.26, 501.66 and 180.09

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Solution

The fourth proportional to 334.26, 501.66 and 180.09 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.26 : 501.66 = 180.09 : x
  2. Step 2: Convert to fraction form
    334.26/501.66 = 180.09/x
  3. Step 3: Cross multiply
    334.26x = 501.66 × 180.09
  4. Step 4: Simplify right side
    334.26x = 90,343.95
  5. Step 5: Solve for x
    x = 90,343.95/334.26
  6. Step 6: Final answer
    x = 270.28

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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.