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Finding the Fourth Proportional to 365.92, 505.06 and 218.56

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Solution

The fourth proportional to 365.92, 505.06 and 218.56 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 505.06 = 218.56 : x
  2. Step 2: Convert to fraction form
    365.92/505.06 = 218.56/x
  3. Step 3: Cross multiply
    365.92x = 505.06 × 218.56
  4. Step 4: Simplify right side
    365.92x = 110,385.91
  5. Step 5: Solve for x
    x = 110,385.91/365.92
  6. Step 6: Final answer
    x = 301.67

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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.