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Finding the Fourth Proportional to 245.37, 367.75 and 108.26

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Solution

The fourth proportional to 245.37, 367.75 and 108.26 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.37 : 367.75 = 108.26 : x
  2. Step 2: Convert to fraction form
    245.37/367.75 = 108.26/x
  3. Step 3: Cross multiply
    245.37x = 367.75 × 108.26
  4. Step 4: Simplify right side
    245.37x = 39,810.91
  5. Step 5: Solve for x
    x = 39,810.91/245.37
  6. Step 6: Final answer
    x = 162.25

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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.