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Finding the Fourth Proportional to 218.06, 327.07 and 96.24

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Solution

The fourth proportional to 218.06, 327.07 and 96.24 is: 144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.06 : 327.07 = 96.24 : x
  2. Step 2: Convert to fraction form
    218.06/327.07 = 96.24/x
  3. Step 3: Cross multiply
    218.06x = 327.07 × 96.24
  4. Step 4: Simplify right side
    218.06x = 31,477.22
  5. Step 5: Solve for x
    x = 31,477.22/218.06
  6. Step 6: Final answer
    x = 144.35

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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.