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Finding the Fourth Proportional to 256.87, 386.14 and 206.07

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Solution

The fourth proportional to 256.87, 386.14 and 206.07 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.87 : 386.14 = 206.07 : x
  2. Step 2: Convert to fraction form
    256.87/386.14 = 206.07/x
  3. Step 3: Cross multiply
    256.87x = 386.14 × 206.07
  4. Step 4: Simplify right side
    256.87x = 79,571.96
  5. Step 5: Solve for x
    x = 79,571.96/256.87
  6. Step 6: Final answer
    x = 309.77

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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.