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Finding the Fourth Proportional to 237.12, 355.84 and 92.80

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Solution

The fourth proportional to 237.12, 355.84 and 92.80 is: 139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 355.84 = 92.80 : x
  2. Step 2: Convert to fraction form
    237.12/355.84 = 92.80/x
  3. Step 3: Cross multiply
    237.12x = 355.84 × 92.80
  4. Step 4: Simplify right side
    237.12x = 33,021.95
  5. Step 5: Solve for x
    x = 33,021.95/237.12
  6. Step 6: Final answer
    x = 139.26

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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.