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Finding the Fourth Proportional to 334.15, 501.09 and 114.73

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Solution

The fourth proportional to 334.15, 501.09 and 114.73 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.15 : 501.09 = 114.73 : x
  2. Step 2: Convert to fraction form
    334.15/501.09 = 114.73/x
  3. Step 3: Cross multiply
    334.15x = 501.09 × 114.73
  4. Step 4: Simplify right side
    334.15x = 57,487.98
  5. Step 5: Solve for x
    x = 57,487.98/334.15
  6. Step 6: Final answer
    x = 172.05

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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.