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Finding the Fourth Proportional to 336.30, 504.17 and 105.05

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Solution

The fourth proportional to 336.30, 504.17 and 105.05 is: 157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 504.17 = 105.05 : x
  2. Step 2: Convert to fraction form
    336.30/504.17 = 105.05/x
  3. Step 3: Cross multiply
    336.30x = 504.17 × 105.05
  4. Step 4: Simplify right side
    336.30x = 52,961.94
  5. Step 5: Solve for x
    x = 52,961.94/336.30
  6. Step 6: Final answer
    x = 157.48

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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.