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Finding the Fourth Proportional to 245.24, 367.60 and 82.80

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Solution

The fourth proportional to 245.24, 367.60 and 82.80 is: 124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.24 : 367.60 = 82.80 : x
  2. Step 2: Convert to fraction form
    245.24/367.60 = 82.80/x
  3. Step 3: Cross multiply
    245.24x = 367.60 × 82.80
  4. Step 4: Simplify right side
    245.24x = 30,437.28
  5. Step 5: Solve for x
    x = 30,437.28/245.24
  6. Step 6: Final answer
    x = 124.11

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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.