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Finding the Fourth Proportional to 245.16, 367.26 and 214.76

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Solution

The fourth proportional to 245.16, 367.26 and 214.76 is: 321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.16 : 367.26 = 214.76 : x
  2. Step 2: Convert to fraction form
    245.16/367.26 = 214.76/x
  3. Step 3: Cross multiply
    245.16x = 367.26 × 214.76
  4. Step 4: Simplify right side
    245.16x = 78,872.76
  5. Step 5: Solve for x
    x = 78,872.76/245.16
  6. Step 6: Final answer
    x = 321.72

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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.