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Finding the Fourth Proportional to 257.48, 386.38 and 180.52

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Solution

The fourth proportional to 257.48, 386.38 and 180.52 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 386.38 = 180.52 : x
  2. Step 2: Convert to fraction form
    257.48/386.38 = 180.52/x
  3. Step 3: Cross multiply
    257.48x = 386.38 × 180.52
  4. Step 4: Simplify right side
    257.48x = 69,749.32
  5. Step 5: Solve for x
    x = 69,749.32/257.48
  6. Step 6: Final answer
    x = 270.89

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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.