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Finding the Fourth Proportional to 237.24, 353.97 and 211.12

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Solution

The fourth proportional to 237.24, 353.97 and 211.12 is: 315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.24 : 353.97 = 211.12 : x
  2. Step 2: Convert to fraction form
    237.24/353.97 = 211.12/x
  3. Step 3: Cross multiply
    237.24x = 353.97 × 211.12
  4. Step 4: Simplify right side
    237.24x = 74,730.15
  5. Step 5: Solve for x
    x = 74,730.15/237.24
  6. Step 6: Final answer
    x = 315.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.