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Finding the Fourth Proportional to 185.48, 255.78 and 120

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Solution

The fourth proportional to 185.48, 255.78 and 120 is: 165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.48 : 255.78 = 120 : x
  2. Step 2: Convert to fraction form
    185.48/255.78 = 120/x
  3. Step 3: Cross multiply
    185.48x = 255.78 × 120
  4. Step 4: Simplify right side
    185.48x = 30,693.60
  5. Step 5: Solve for x
    x = 30,693.60/185.48
  6. Step 6: Final answer
    x = 165.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.