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Finding the Fourth Proportional to 257.56, 388.08 and 212.92

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Solution

The fourth proportional to 257.56, 388.08 and 212.92 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.56 : 388.08 = 212.92 : x
  2. Step 2: Convert to fraction form
    257.56/388.08 = 212.92/x
  3. Step 3: Cross multiply
    257.56x = 388.08 × 212.92
  4. Step 4: Simplify right side
    257.56x = 82,629.99
  5. Step 5: Solve for x
    x = 82,629.99/257.56
  6. Step 6: Final answer
    x = 320.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.