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Finding the Fourth Proportional to 257.88, 386.46 and 206.40

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Solution

The fourth proportional to 257.88, 386.46 and 206.40 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.88 : 386.46 = 206.40 : x
  2. Step 2: Convert to fraction form
    257.88/386.46 = 206.40/x
  3. Step 3: Cross multiply
    257.88x = 386.46 × 206.40
  4. Step 4: Simplify right side
    257.88x = 79,765.34
  5. Step 5: Solve for x
    x = 79,765.34/257.88
  6. Step 6: Final answer
    x = 309.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.