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Finding the Fourth Proportional to 257.68, 386.64 and 120.81

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Solution

The fourth proportional to 257.68, 386.64 and 120.81 is: 181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.68 : 386.64 = 120.81 : x
  2. Step 2: Convert to fraction form
    257.68/386.64 = 120.81/x
  3. Step 3: Cross multiply
    257.68x = 386.64 × 120.81
  4. Step 4: Simplify right side
    257.68x = 46,709.98
  5. Step 5: Solve for x
    x = 46,709.98/257.68
  6. Step 6: Final answer
    x = 181.27

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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.