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Finding the Fourth Proportional to 237.81, 355.83 and 205.68

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Solution

The fourth proportional to 237.81, 355.83 and 205.68 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.81 : 355.83 = 205.68 : x
  2. Step 2: Convert to fraction form
    237.81/355.83 = 205.68/x
  3. Step 3: Cross multiply
    237.81x = 355.83 × 205.68
  4. Step 4: Simplify right side
    237.81x = 73,187.11
  5. Step 5: Solve for x
    x = 73,187.11/237.81
  6. Step 6: Final answer
    x = 307.75

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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.