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Finding the Fourth Proportional to 218.01, 324.73 and 217.59

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Solution

The fourth proportional to 218.01, 324.73 and 217.59 is: 324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.01 : 324.73 = 217.59 : x
  2. Step 2: Convert to fraction form
    218.01/324.73 = 217.59/x
  3. Step 3: Cross multiply
    218.01x = 324.73 × 217.59
  4. Step 4: Simplify right side
    218.01x = 70,657.46
  5. Step 5: Solve for x
    x = 70,657.46/218.01
  6. Step 6: Final answer
    x = 324.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.