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Finding the Fourth Proportional to 336.25, 504.39 and 105.22

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Solution

The fourth proportional to 336.25, 504.39 and 105.22 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.25 : 504.39 = 105.22 : x
  2. Step 2: Convert to fraction form
    336.25/504.39 = 105.22/x
  3. Step 3: Cross multiply
    336.25x = 504.39 × 105.22
  4. Step 4: Simplify right side
    336.25x = 53,071.92
  5. Step 5: Solve for x
    x = 53,071.92/336.25
  6. Step 6: Final answer
    x = 157.83

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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.