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Finding the Fourth Proportional to 258.36, 386.94 and 206.72

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Solution

The fourth proportional to 258.36, 386.94 and 206.72 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.36 : 386.94 = 206.72 : x
  2. Step 2: Convert to fraction form
    258.36/386.94 = 206.72/x
  3. Step 3: Cross multiply
    258.36x = 386.94 × 206.72
  4. Step 4: Simplify right side
    258.36x = 79,988.24
  5. Step 5: Solve for x
    x = 79,988.24/258.36
  6. Step 6: Final answer
    x = 309.60

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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.