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Finding the Fourth Proportional to 320.00, 480.20 and 157.59

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Solution

The fourth proportional to 320.00, 480.20 and 157.59 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.00 : 480.20 = 157.59 : x
  2. Step 2: Convert to fraction form
    320.00/480.20 = 157.59/x
  3. Step 3: Cross multiply
    320.00x = 480.20 × 157.59
  4. Step 4: Simplify right side
    320.00x = 75,673.93
  5. Step 5: Solve for x
    x = 75,673.93/320.00
  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.