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Finding the Fourth Proportional to 336.29, 504.43 and 120.02

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Solution

The fourth proportional to 336.29, 504.43 and 120.02 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.29 : 504.43 = 120.02 : x
  2. Step 2: Convert to fraction form
    336.29/504.43 = 120.02/x
  3. Step 3: Cross multiply
    336.29x = 504.43 × 120.02
  4. Step 4: Simplify right side
    336.29x = 60,538.87
  5. Step 5: Solve for x
    x = 60,538.87/336.29
  6. Step 6: Final answer
    x = 180.02

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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.