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Finding the Fourth Proportional to 320.26, 480.06 and 157.72

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Solution

The fourth proportional to 320.26, 480.06 and 157.72 is: 236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.26 : 480.06 = 157.72 : x
  2. Step 2: Convert to fraction form
    320.26/480.06 = 157.72/x
  3. Step 3: Cross multiply
    320.26x = 480.06 × 157.72
  4. Step 4: Simplify right side
    320.26x = 75,715.06
  5. Step 5: Solve for x
    x = 75,715.06/320.26
  6. Step 6: Final answer
    x = 236.42

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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.