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Finding the Fourth Proportional to 237.84, 356.52 and 205.68

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Solution

The fourth proportional to 237.84, 356.52 and 205.68 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 356.52 = 205.68 : x
  2. Step 2: Convert to fraction form
    237.84/356.52 = 205.68/x
  3. Step 3: Cross multiply
    237.84x = 356.52 × 205.68
  4. Step 4: Simplify right side
    237.84x = 73,329.03
  5. Step 5: Solve for x
    x = 73,329.03/237.84
  6. Step 6: Final answer
    x = 308.31

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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.