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Finding the Fourth Proportional to 336.96, 504.27 and 200.10

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Solution

The fourth proportional to 336.96, 504.27 and 200.10 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 504.27 = 200.10 : x
  2. Step 2: Convert to fraction form
    336.96/504.27 = 200.10/x
  3. Step 3: Cross multiply
    336.96x = 504.27 × 200.10
  4. Step 4: Simplify right side
    336.96x = 100,904.43
  5. Step 5: Solve for x
    x = 100,904.43/336.96
  6. Step 6: Final answer
    x = 299.46

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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.