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Finding the Fourth Proportional to 337.34, 504.94 and 180.78

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Solution

The fourth proportional to 337.34, 504.94 and 180.78 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.34 : 504.94 = 180.78 : x
  2. Step 2: Convert to fraction form
    337.34/504.94 = 180.78/x
  3. Step 3: Cross multiply
    337.34x = 504.94 × 180.78
  4. Step 4: Simplify right side
    337.34x = 91,280.84
  5. Step 5: Solve for x
    x = 91,280.84/337.34
  6. Step 6: Final answer
    x = 270.59

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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.