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Finding the Fourth Proportional to 243.67, 336.26 and 133.14

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Solution

The fourth proportional to 243.67, 336.26 and 133.14 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.67 : 336.26 = 133.14 : x
  2. Step 2: Convert to fraction form
    243.67/336.26 = 133.14/x
  3. Step 3: Cross multiply
    243.67x = 336.26 × 133.14
  4. Step 4: Simplify right side
    243.67x = 44,771.58
  5. Step 5: Solve for x
    x = 44,771.58/243.67
  6. Step 6: Final answer
    x = 183.74

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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.