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Finding the Fourth Proportional to 327.96, 491.76 and 145.35

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Solution

The fourth proportional to 327.96, 491.76 and 145.35 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 491.76 = 145.35 : x
  2. Step 2: Convert to fraction form
    327.96/491.76 = 145.35/x
  3. Step 3: Cross multiply
    327.96x = 491.76 × 145.35
  4. Step 4: Simplify right side
    327.96x = 71,477.32
  5. Step 5: Solve for x
    x = 71,477.32/327.96
  6. Step 6: Final answer
    x = 217.95

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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.