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Finding the Fourth Proportional to 257.68, 386.16 and 185.38

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Solution

The fourth proportional to 257.68, 386.16 and 185.38 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.68 : 386.16 = 185.38 : x
  2. Step 2: Convert to fraction form
    257.68/386.16 = 185.38/x
  3. Step 3: Cross multiply
    257.68x = 386.16 × 185.38
  4. Step 4: Simplify right side
    257.68x = 71,586.34
  5. Step 5: Solve for x
    x = 71,586.34/257.68
  6. Step 6: Final answer
    x = 277.81

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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.