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Finding the Fourth Proportional to 258.03, 386.73 and 180.57

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Solution

The fourth proportional to 258.03, 386.73 and 180.57 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.03 : 386.73 = 180.57 : x
  2. Step 2: Convert to fraction form
    258.03/386.73 = 180.57/x
  3. Step 3: Cross multiply
    258.03x = 386.73 × 180.57
  4. Step 4: Simplify right side
    258.03x = 69,831.84
  5. Step 5: Solve for x
    x = 69,831.84/258.03
  6. Step 6: Final answer
    x = 270.63

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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.