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Finding the Fourth Proportional to 257.64, 386.31 and 120.75

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Solution

The fourth proportional to 257.64, 386.31 and 120.75 is: 181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.64 : 386.31 = 120.75 : x
  2. Step 2: Convert to fraction form
    257.64/386.31 = 120.75/x
  3. Step 3: Cross multiply
    257.64x = 386.31 × 120.75
  4. Step 4: Simplify right side
    257.64x = 46,646.93
  5. Step 5: Solve for x
    x = 46,646.93/257.64
  6. Step 6: Final answer
    x = 181.05

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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.