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Finding the Fourth Proportional to 334.22, 501.02 and 180

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Solution

The fourth proportional to 334.22, 501.02 and 180 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 501.02 = 180 : x
  2. Step 2: Convert to fraction form
    334.22/501.02 = 180/x
  3. Step 3: Cross multiply
    334.22x = 501.02 × 180
  4. Step 4: Simplify right side
    334.22x = 90,183.60
  5. Step 5: Solve for x
    x = 90,183.60/334.22
  6. Step 6: Final answer
    x = 269.83

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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.