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Finding the Fourth Proportional to 257.22, 386.16 and 206.51

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Solution

The fourth proportional to 257.22, 386.16 and 206.51 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.22 : 386.16 = 206.51 : x
  2. Step 2: Convert to fraction form
    257.22/386.16 = 206.51/x
  3. Step 3: Cross multiply
    257.22x = 386.16 × 206.51
  4. Step 4: Simplify right side
    257.22x = 79,743.97
  5. Step 5: Solve for x
    x = 79,743.97/257.22
  6. Step 6: Final answer
    x = 310.02

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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.