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Finding the Fourth Proportional to 257.66, 386.75 and 120.80

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Solution

The fourth proportional to 257.66, 386.75 and 120.80 is: 181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.66 : 386.75 = 120.80 : x
  2. Step 2: Convert to fraction form
    257.66/386.75 = 120.80/x
  3. Step 3: Cross multiply
    257.66x = 386.75 × 120.80
  4. Step 4: Simplify right side
    257.66x = 46,719.76
  5. Step 5: Solve for x
    x = 46,719.76/257.66
  6. Step 6: Final answer
    x = 181.32

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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.