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Finding the Fourth Proportional to 336.46, 504.73 and 120.02

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Solution

The fourth proportional to 336.46, 504.73 and 120.02 is: 180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.46 : 504.73 = 120.02 : x
  2. Step 2: Convert to fraction form
    336.46/504.73 = 120.02/x
  3. Step 3: Cross multiply
    336.46x = 504.73 × 120.02
  4. Step 4: Simplify right side
    336.46x = 60,577.69
  5. Step 5: Solve for x
    x = 60,577.69/336.46
  6. Step 6: Final answer
    x = 180.04

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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.