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Finding the Fourth Proportional to 288.22, 431.92 and 211.36

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Solution

The fourth proportional to 288.22, 431.92 and 211.36 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.22 : 431.92 = 211.36 : x
  2. Step 2: Convert to fraction form
    288.22/431.92 = 211.36/x
  3. Step 3: Cross multiply
    288.22x = 431.92 × 211.36
  4. Step 4: Simplify right side
    288.22x = 91,290.61
  5. Step 5: Solve for x
    x = 91,290.61/288.22
  6. Step 6: Final answer
    x = 316.74

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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.