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Finding the Fourth Proportional to 320.14, 480.37 and 165.99

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Solution

The fourth proportional to 320.14, 480.37 and 165.99 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.14 : 480.37 = 165.99 : x
  2. Step 2: Convert to fraction form
    320.14/480.37 = 165.99/x
  3. Step 3: Cross multiply
    320.14x = 480.37 × 165.99
  4. Step 4: Simplify right side
    320.14x = 79,733.68
  5. Step 5: Solve for x
    x = 79,733.68/320.14
  6. Step 6: Final answer
    x = 249.06

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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.