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Finding the Fourth Proportional to 334.33, 501.06 and 180.31

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Solution

The fourth proportional to 334.33, 501.06 and 180.31 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.33 : 501.06 = 180.31 : x
  2. Step 2: Convert to fraction form
    334.33/501.06 = 180.31/x
  3. Step 3: Cross multiply
    334.33x = 501.06 × 180.31
  4. Step 4: Simplify right side
    334.33x = 90,346.13
  5. Step 5: Solve for x
    x = 90,346.13/334.33
  6. Step 6: Final answer
    x = 270.23

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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.