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Finding the Fourth Proportional to 336.46, 504.64 and 119.98

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Solution

The fourth proportional to 336.46, 504.64 and 119.98 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.46 : 504.64 = 119.98 : x
  2. Step 2: Convert to fraction form
    336.46/504.64 = 119.98/x
  3. Step 3: Cross multiply
    336.46x = 504.64 × 119.98
  4. Step 4: Simplify right side
    336.46x = 60,546.71
  5. Step 5: Solve for x
    x = 60,546.71/336.46
  6. Step 6: Final answer
    x = 179.95

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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.