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Finding the Fourth Proportional to 321.64, 481.92 and 148.06

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Solution

The fourth proportional to 321.64, 481.92 and 148.06 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.64 : 481.92 = 148.06 : x
  2. Step 2: Convert to fraction form
    321.64/481.92 = 148.06/x
  3. Step 3: Cross multiply
    321.64x = 481.92 × 148.06
  4. Step 4: Simplify right side
    321.64x = 71,353.08
  5. Step 5: Solve for x
    x = 71,353.08/321.64
  6. Step 6: Final answer
    x = 221.84

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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.