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Finding the Fourth Proportional to 218.59, 327.77 and 96.80

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Solution

The fourth proportional to 218.59, 327.77 and 96.80 is: 145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.59 : 327.77 = 96.80 : x
  2. Step 2: Convert to fraction form
    218.59/327.77 = 96.80/x
  3. Step 3: Cross multiply
    218.59x = 327.77 × 96.80
  4. Step 4: Simplify right side
    218.59x = 31,728.14
  5. Step 5: Solve for x
    x = 31,728.14/218.59
  6. Step 6: Final answer
    x = 145.15

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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.