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Finding the Fourth Proportional to 336.13, 504.24 and 165.09

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Solution

The fourth proportional to 336.13, 504.24 and 165.09 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.13 : 504.24 = 165.09 : x
  2. Step 2: Convert to fraction form
    336.13/504.24 = 165.09/x
  3. Step 3: Cross multiply
    336.13x = 504.24 × 165.09
  4. Step 4: Simplify right side
    336.13x = 83,244.98
  5. Step 5: Solve for x
    x = 83,244.98/336.13
  6. Step 6: Final answer
    x = 247.66

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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.