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Finding the Fourth Proportional to 218.64, 328.04 and 131.96

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Solution

The fourth proportional to 218.64, 328.04 and 131.96 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 328.04 = 131.96 : x
  2. Step 2: Convert to fraction form
    218.64/328.04 = 131.96/x
  3. Step 3: Cross multiply
    218.64x = 328.04 × 131.96
  4. Step 4: Simplify right side
    218.64x = 43,288.16
  5. Step 5: Solve for x
    x = 43,288.16/218.64
  6. Step 6: Final answer
    x = 197.99

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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.