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Finding the Fourth Proportional to 334.32, 501.22 and 180.15

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Solution

The fourth proportional to 334.32, 501.22 and 180.15 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 501.22 = 180.15 : x
  2. Step 2: Convert to fraction form
    334.32/501.22 = 180.15/x
  3. Step 3: Cross multiply
    334.32x = 501.22 × 180.15
  4. Step 4: Simplify right side
    334.32x = 90,294.78
  5. Step 5: Solve for x
    x = 90,294.78/334.32
  6. Step 6: Final answer
    x = 270.08

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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.