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Finding the Fourth Proportional to 237.96, 354.43 and 222.96

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Solution

The fourth proportional to 237.96, 354.43 and 222.96 is: 332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 354.43 = 222.96 : x
  2. Step 2: Convert to fraction form
    237.96/354.43 = 222.96/x
  3. Step 3: Cross multiply
    237.96x = 354.43 × 222.96
  4. Step 4: Simplify right side
    237.96x = 79,023.71
  5. Step 5: Solve for x
    x = 79,023.71/237.96
  6. Step 6: Final answer
    x = 332.09

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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.