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Finding the Fourth Proportional to 237.68, 355.80 and 201.68

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Solution

The fourth proportional to 237.68, 355.80 and 201.68 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 355.80 = 201.68 : x
  2. Step 2: Convert to fraction form
    237.68/355.80 = 201.68/x
  3. Step 3: Cross multiply
    237.68x = 355.80 × 201.68
  4. Step 4: Simplify right side
    237.68x = 71,757.74
  5. Step 5: Solve for x
    x = 71,757.74/237.68
  6. Step 6: Final answer
    x = 301.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.