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Finding the Fourth Proportional to 334.31, 501.03 and 172.05

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Solution

The fourth proportional to 334.31, 501.03 and 172.05 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 501.03 = 172.05 : x
  2. Step 2: Convert to fraction form
    334.31/501.03 = 172.05/x
  3. Step 3: Cross multiply
    334.31x = 501.03 × 172.05
  4. Step 4: Simplify right side
    334.31x = 86,202.21
  5. Step 5: Solve for x
    x = 86,202.21/334.31
  6. Step 6: Final answer
    x = 257.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.