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Finding the Fourth Proportional to 237.45, 355.71 and 211.65

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Solution

The fourth proportional to 237.45, 355.71 and 211.65 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.45 : 355.71 = 211.65 : x
  2. Step 2: Convert to fraction form
    237.45/355.71 = 211.65/x
  3. Step 3: Cross multiply
    237.45x = 355.71 × 211.65
  4. Step 4: Simplify right side
    237.45x = 75,286.02
  5. Step 5: Solve for x
    x = 75,286.02/237.45
  6. Step 6: Final answer
    x = 317.06

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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.