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Finding the Fourth Proportional to 247.36, 370.24 and 189.79

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Solution

The fourth proportional to 247.36, 370.24 and 189.79 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.36 : 370.24 = 189.79 : x
  2. Step 2: Convert to fraction form
    247.36/370.24 = 189.79/x
  3. Step 3: Cross multiply
    247.36x = 370.24 × 189.79
  4. Step 4: Simplify right side
    247.36x = 70,267.85
  5. Step 5: Solve for x
    x = 70,267.85/247.36
  6. Step 6: Final answer
    x = 284.07

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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.