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Finding the Fourth Proportional to 237.95, 357.17 and 205.96

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Solution

The fourth proportional to 237.95, 357.17 and 205.96 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.95 : 357.17 = 205.96 : x
  2. Step 2: Convert to fraction form
    237.95/357.17 = 205.96/x
  3. Step 3: Cross multiply
    237.95x = 357.17 × 205.96
  4. Step 4: Simplify right side
    237.95x = 73,562.64
  5. Step 5: Solve for x
    x = 73,562.64/237.95
  6. Step 6: Final answer
    x = 309.15

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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.