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Finding the Fourth Proportional to 245.88, 369.60 and 211.80

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Solution

The fourth proportional to 245.88, 369.60 and 211.80 is: 318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.88 : 369.60 = 211.80 : x
  2. Step 2: Convert to fraction form
    245.88/369.60 = 211.80/x
  3. Step 3: Cross multiply
    245.88x = 369.60 × 211.80
  4. Step 4: Simplify right side
    245.88x = 78,281.28
  5. Step 5: Solve for x
    x = 78,281.28/245.88
  6. Step 6: Final answer
    x = 318.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.