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Finding the Fourth Proportional to 320.22, 480.42 and 146.88

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Solution

The fourth proportional to 320.22, 480.42 and 146.88 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 480.42 = 146.88 : x
  2. Step 2: Convert to fraction form
    320.22/480.42 = 146.88/x
  3. Step 3: Cross multiply
    320.22x = 480.42 × 146.88
  4. Step 4: Simplify right side
    320.22x = 70,564.09
  5. Step 5: Solve for x
    x = 70,564.09/320.22
  6. Step 6: Final answer
    x = 220.36

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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.