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Finding the Fourth Proportional to 237.74, 357.15 and 206.42

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Solution

The fourth proportional to 237.74, 357.15 and 206.42 is: 310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.74 : 357.15 = 206.42 : x
  2. Step 2: Convert to fraction form
    237.74/357.15 = 206.42/x
  3. Step 3: Cross multiply
    237.74x = 357.15 × 206.42
  4. Step 4: Simplify right side
    237.74x = 73,722.90
  5. Step 5: Solve for x
    x = 73,722.90/237.74
  6. Step 6: Final answer
    x = 310.10

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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.