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Finding the Fourth Proportional to 243.74, 336.39 and 140.26

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Solution

The fourth proportional to 243.74, 336.39 and 140.26 is: 193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.74 : 336.39 = 140.26 : x
  2. Step 2: Convert to fraction form
    243.74/336.39 = 140.26/x
  3. Step 3: Cross multiply
    243.74x = 336.39 × 140.26
  4. Step 4: Simplify right side
    243.74x = 47,182.06
  5. Step 5: Solve for x
    x = 47,182.06/243.74
  6. Step 6: Final answer
    x = 193.58

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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.