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Finding the Fourth Proportional to 245.68, 338.16 and 210.56

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Solution

The fourth proportional to 245.68, 338.16 and 210.56 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.68 : 338.16 = 210.56 : x
  2. Step 2: Convert to fraction form
    245.68/338.16 = 210.56/x
  3. Step 3: Cross multiply
    245.68x = 338.16 × 210.56
  4. Step 4: Simplify right side
    245.68x = 71,202.97
  5. Step 5: Solve for x
    x = 71,202.97/245.68
  6. Step 6: Final answer
    x = 289.82

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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.