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Finding the Fourth Proportional to 218.07, 300.75 and 144.36

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Solution

The fourth proportional to 218.07, 300.75 and 144.36 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 300.75 = 144.36 : x
  2. Step 2: Convert to fraction form
    218.07/300.75 = 144.36/x
  3. Step 3: Cross multiply
    218.07x = 300.75 × 144.36
  4. Step 4: Simplify right side
    218.07x = 43,416.27
  5. Step 5: Solve for x
    x = 43,416.27/218.07
  6. Step 6: Final answer
    x = 199.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.