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Finding the Fourth Proportional to 237.12, 354.87 and 164.67

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Solution

The fourth proportional to 237.12, 354.87 and 164.67 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 354.87 = 164.67 : x
  2. Step 2: Convert to fraction form
    237.12/354.87 = 164.67/x
  3. Step 3: Cross multiply
    237.12x = 354.87 × 164.67
  4. Step 4: Simplify right side
    237.12x = 58,436.44
  5. Step 5: Solve for x
    x = 58,436.44/237.12
  6. Step 6: Final answer
    x = 246.44

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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.