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Finding the Fourth Proportional to 327.16, 490.74 and 144.64

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Solution

The fourth proportional to 327.16, 490.74 and 144.64 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 490.74 = 144.64 : x
  2. Step 2: Convert to fraction form
    327.16/490.74 = 144.64/x
  3. Step 3: Cross multiply
    327.16x = 490.74 × 144.64
  4. Step 4: Simplify right side
    327.16x = 70,980.63
  5. Step 5: Solve for x
    x = 70,980.63/327.16
  6. Step 6: Final answer
    x = 216.96

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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.