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Finding the Fourth Proportional to 243.09, 335.37 and 144.75

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Solution

The fourth proportional to 243.09, 335.37 and 144.75 is: 199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 335.37 = 144.75 : x
  2. Step 2: Convert to fraction form
    243.09/335.37 = 144.75/x
  3. Step 3: Cross multiply
    243.09x = 335.37 × 144.75
  4. Step 4: Simplify right side
    243.09x = 48,544.81
  5. Step 5: Solve for x
    x = 48,544.81/243.09
  6. Step 6: Final answer
    x = 199.70

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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.