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Finding the Fourth Proportional to 218.82, 328.29 and 97.09

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Solution

The fourth proportional to 218.82, 328.29 and 97.09 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.82 : 328.29 = 97.09 : x
  2. Step 2: Convert to fraction form
    218.82/328.29 = 97.09/x
  3. Step 3: Cross multiply
    218.82x = 328.29 × 97.09
  4. Step 4: Simplify right side
    218.82x = 31,873.68
  5. Step 5: Solve for x
    x = 31,873.68/218.82
  6. Step 6: Final answer
    x = 145.66

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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.