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Finding the Fourth Proportional to 257.98, 386.54 and 206.34

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Solution

The fourth proportional to 257.98, 386.54 and 206.34 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 386.54 = 206.34 : x
  2. Step 2: Convert to fraction form
    257.98/386.54 = 206.34/x
  3. Step 3: Cross multiply
    257.98x = 386.54 × 206.34
  4. Step 4: Simplify right side
    257.98x = 79,758.66
  5. Step 5: Solve for x
    x = 79,758.66/257.98
  6. Step 6: Final answer
    x = 309.17

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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.