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Finding the Fourth Proportional to 243.74, 365.90 and 192.56

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Solution

The fourth proportional to 243.74, 365.90 and 192.56 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.74 : 365.90 = 192.56 : x
  2. Step 2: Convert to fraction form
    243.74/365.90 = 192.56/x
  3. Step 3: Cross multiply
    243.74x = 365.90 × 192.56
  4. Step 4: Simplify right side
    243.74x = 70,454.91
  5. Step 5: Solve for x
    x = 70,454.91/243.74
  6. Step 6: Final answer
    x = 289.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.