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Finding the Fourth Proportional to 336.80, 504.39 and 171.86

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Solution

The fourth proportional to 336.80, 504.39 and 171.86 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 504.39 = 171.86 : x
  2. Step 2: Convert to fraction form
    336.80/504.39 = 171.86/x
  3. Step 3: Cross multiply
    336.80x = 504.39 × 171.86
  4. Step 4: Simplify right side
    336.80x = 86,685.43
  5. Step 5: Solve for x
    x = 86,685.43/336.80
  6. Step 6: Final answer
    x = 257.38

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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.