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Finding the Fourth Proportional to 243.81, 336.42 and 144.24

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Solution

The fourth proportional to 243.81, 336.42 and 144.24 is: 199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.81 : 336.42 = 144.24 : x
  2. Step 2: Convert to fraction form
    243.81/336.42 = 144.24/x
  3. Step 3: Cross multiply
    243.81x = 336.42 × 144.24
  4. Step 4: Simplify right side
    243.81x = 48,525.22
  5. Step 5: Solve for x
    x = 48,525.22/243.81
  6. Step 6: Final answer
    x = 199.03

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