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Finding the Fourth Proportional to 185.40, 255.92 and 120

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Solution

The fourth proportional to 185.40, 255.92 and 120 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 255.92 = 120 : x
  2. Step 2: Convert to fraction form
    185.40/255.92 = 120/x
  3. Step 3: Cross multiply
    185.40x = 255.92 × 120
  4. Step 4: Simplify right side
    185.40x = 30,710.40
  5. Step 5: Solve for x
    x = 30,710.40/185.40
  6. Step 6: Final answer
    x = 165.64

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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.