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Finding the Fourth Proportional to 245.78, 367.74 and 215.12

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Solution

The fourth proportional to 245.78, 367.74 and 215.12 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 367.74 = 215.12 : x
  2. Step 2: Convert to fraction form
    245.78/367.74 = 215.12/x
  3. Step 3: Cross multiply
    245.78x = 367.74 × 215.12
  4. Step 4: Simplify right side
    245.78x = 79,108.23
  5. Step 5: Solve for x
    x = 79,108.23/245.78
  6. Step 6: Final answer
    x = 321.87

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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.