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Finding the Fourth Proportional to 218.32, 301.23 and 144.59

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Solution

The fourth proportional to 218.32, 301.23 and 144.59 is: 199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 301.23 = 144.59 : x
  2. Step 2: Convert to fraction form
    218.32/301.23 = 144.59/x
  3. Step 3: Cross multiply
    218.32x = 301.23 × 144.59
  4. Step 4: Simplify right side
    218.32x = 43,555.96
  5. Step 5: Solve for x
    x = 43,555.96/218.32
  6. Step 6: Final answer
    x = 199.51

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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.