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Finding the Fourth Proportional to 245.60, 338.28 and 216.56

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Solution

The fourth proportional to 245.60, 338.28 and 216.56 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.60 : 338.28 = 216.56 : x
  2. Step 2: Convert to fraction form
    245.60/338.28 = 216.56/x
  3. Step 3: Cross multiply
    245.60x = 338.28 × 216.56
  4. Step 4: Simplify right side
    245.60x = 73,257.92
  5. Step 5: Solve for x
    x = 73,257.92/245.60
  6. Step 6: Final answer
    x = 298.28

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