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Finding the Fourth Proportional to 232.44, 319.98 and 211.80

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Solution

The fourth proportional to 232.44, 319.98 and 211.80 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 319.98 = 211.80 : x
  2. Step 2: Convert to fraction form
    232.44/319.98 = 211.80/x
  3. Step 3: Cross multiply
    232.44x = 319.98 × 211.80
  4. Step 4: Simplify right side
    232.44x = 67,771.76
  5. Step 5: Solve for x
    x = 67,771.76/232.44
  6. Step 6: Final answer
    x = 291.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.