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Finding the Fourth Proportional to 237.12, 355.20 and 185.28

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Solution

The fourth proportional to 237.12, 355.20 and 185.28 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 355.20 = 185.28 : x
  2. Step 2: Convert to fraction form
    237.12/355.20 = 185.28/x
  3. Step 3: Cross multiply
    237.12x = 355.20 × 185.28
  4. Step 4: Simplify right side
    237.12x = 65,811.46
  5. Step 5: Solve for x
    x = 65,811.46/237.12
  6. Step 6: Final answer
    x = 277.54

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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.