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Finding the Fourth Proportional to 245.26, 367.89 and 147.79

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Solution

The fourth proportional to 245.26, 367.89 and 147.79 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.26 : 367.89 = 147.79 : x
  2. Step 2: Convert to fraction form
    245.26/367.89 = 147.79/x
  3. Step 3: Cross multiply
    245.26x = 367.89 × 147.79
  4. Step 4: Simplify right side
    245.26x = 54,370.46
  5. Step 5: Solve for x
    x = 54,370.46/245.26
  6. Step 6: Final answer
    x = 221.69

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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.