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Finding the Fourth Proportional to 237.75, 356.67 and 109.50

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Solution

The fourth proportional to 237.75, 356.67 and 109.50 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 356.67 = 109.50 : x
  2. Step 2: Convert to fraction form
    237.75/356.67 = 109.50/x
  3. Step 3: Cross multiply
    237.75x = 356.67 × 109.50
  4. Step 4: Simplify right side
    237.75x = 39,055.37
  5. Step 5: Solve for x
    x = 39,055.37/237.75
  6. Step 6: Final answer
    x = 164.27

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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.