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Finding the Fourth Proportional to 333.02, 499.60 and 113.63

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Solution

The fourth proportional to 333.02, 499.60 and 113.63 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 499.60 = 113.63 : x
  2. Step 2: Convert to fraction form
    333.02/499.60 = 113.63/x
  3. Step 3: Cross multiply
    333.02x = 499.60 × 113.63
  4. Step 4: Simplify right side
    333.02x = 56,769.68
  5. Step 5: Solve for x
    x = 56,769.68/333.02
  6. Step 6: Final answer
    x = 170.47

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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.