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Finding the Fourth Proportional to 257.98, 386.55 and 206.35

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Solution

The fourth proportional to 257.98, 386.55 and 206.35 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 386.55 = 206.35 : x
  2. Step 2: Convert to fraction form
    257.98/386.55 = 206.35/x
  3. Step 3: Cross multiply
    257.98x = 386.55 × 206.35
  4. Step 4: Simplify right side
    257.98x = 79,762.66
  5. Step 5: Solve for x
    x = 79,762.66/257.98
  6. Step 6: Final answer
    x = 309.19

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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.