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Finding the Fourth Proportional to 245.36, 367.72 and 123.78

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Solution

The fourth proportional to 245.36, 367.72 and 123.78 is: 185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 367.72 = 123.78 : x
  2. Step 2: Convert to fraction form
    245.36/367.72 = 123.78/x
  3. Step 3: Cross multiply
    245.36x = 367.72 × 123.78
  4. Step 4: Simplify right side
    245.36x = 45,516.38
  5. Step 5: Solve for x
    x = 45,516.38/245.36
  6. Step 6: Final answer
    x = 185.51

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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.