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Finding the Fourth Proportional to 245.23, 367.89 and 106.45

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Solution

The fourth proportional to 245.23, 367.89 and 106.45 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.23 : 367.89 = 106.45 : x
  2. Step 2: Convert to fraction form
    245.23/367.89 = 106.45/x
  3. Step 3: Cross multiply
    245.23x = 367.89 × 106.45
  4. Step 4: Simplify right side
    245.23x = 39,161.89
  5. Step 5: Solve for x
    x = 39,161.89/245.23
  6. Step 6: Final answer
    x = 159.69

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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.