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Finding the Fourth Proportional to 245.89, 368.97 and 211.87

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Solution

The fourth proportional to 245.89, 368.97 and 211.87 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.89 : 368.97 = 211.87 : x
  2. Step 2: Convert to fraction form
    245.89/368.97 = 211.87/x
  3. Step 3: Cross multiply
    245.89x = 368.97 × 211.87
  4. Step 4: Simplify right side
    245.89x = 78,173.67
  5. Step 5: Solve for x
    x = 78,173.67/245.89
  6. Step 6: Final answer
    x = 317.92

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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.