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Finding the Fourth Proportional to 257.36, 386.14 and 180.14

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Solution

The fourth proportional to 257.36, 386.14 and 180.14 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 386.14 = 180.14 : x
  2. Step 2: Convert to fraction form
    257.36/386.14 = 180.14/x
  3. Step 3: Cross multiply
    257.36x = 386.14 × 180.14
  4. Step 4: Simplify right side
    257.36x = 69,559.26
  5. Step 5: Solve for x
    x = 69,559.26/257.36
  6. Step 6: Final answer
    x = 270.28

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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.