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Finding the Fourth Proportional to 320.51, 480.21 and 157.83

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Solution

The fourth proportional to 320.51, 480.21 and 157.83 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.51 : 480.21 = 157.83 : x
  2. Step 2: Convert to fraction form
    320.51/480.21 = 157.83/x
  3. Step 3: Cross multiply
    320.51x = 480.21 × 157.83
  4. Step 4: Simplify right side
    320.51x = 75,791.54
  5. Step 5: Solve for x
    x = 75,791.54/320.51
  6. Step 6: Final answer
    x = 236.48

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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.