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Finding the Fourth Proportional to 237.18, 355.69 and 206.80

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Solution

The fourth proportional to 237.18, 355.69 and 206.80 is: 310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.18 : 355.69 = 206.80 : x
  2. Step 2: Convert to fraction form
    237.18/355.69 = 206.80/x
  3. Step 3: Cross multiply
    237.18x = 355.69 × 206.80
  4. Step 4: Simplify right side
    237.18x = 73,558.06
  5. Step 5: Solve for x
    x = 73,558.06/237.18
  6. Step 6: Final answer
    x = 310.14

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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.