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Finding the Fourth Proportional to 245.76, 368.21 and 205.12

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Solution

The fourth proportional to 245.76, 368.21 and 205.12 is: 307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 368.21 = 205.12 : x
  2. Step 2: Convert to fraction form
    245.76/368.21 = 205.12/x
  3. Step 3: Cross multiply
    245.76x = 368.21 × 205.12
  4. Step 4: Simplify right side
    245.76x = 75,527.05
  5. Step 5: Solve for x
    x = 75,527.05/245.76
  6. Step 6: Final answer
    x = 307.33

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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.