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Finding the Fourth Proportional to 257.55, 388.09 and 212.90

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Solution

The fourth proportional to 257.55, 388.09 and 212.90 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 388.09 = 212.90 : x
  2. Step 2: Convert to fraction form
    257.55/388.09 = 212.90/x
  3. Step 3: Cross multiply
    257.55x = 388.09 × 212.90
  4. Step 4: Simplify right side
    257.55x = 82,621.79
  5. Step 5: Solve for x
    x = 82,621.79/257.55
  6. Step 6: Final answer
    x = 320.80

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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.