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Finding the Fourth Proportional to 334.01, 501.09 and 180.11

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Solution

The fourth proportional to 334.01, 501.09 and 180.11 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.01 : 501.09 = 180.11 : x
  2. Step 2: Convert to fraction form
    334.01/501.09 = 180.11/x
  3. Step 3: Cross multiply
    334.01x = 501.09 × 180.11
  4. Step 4: Simplify right side
    334.01x = 90,252.57
  5. Step 5: Solve for x
    x = 90,252.57/334.01
  6. Step 6: Final answer
    x = 270.21

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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.