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Finding the Fourth Proportional to 245.19, 367.74 and 80.65

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Solution

The fourth proportional to 245.19, 367.74 and 80.65 is: 120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.19 : 367.74 = 80.65 : x
  2. Step 2: Convert to fraction form
    245.19/367.74 = 80.65/x
  3. Step 3: Cross multiply
    245.19x = 367.74 × 80.65
  4. Step 4: Simplify right side
    245.19x = 29,658.23
  5. Step 5: Solve for x
    x = 29,658.23/245.19
  6. Step 6: Final answer
    x = 120.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.