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Finding the Fourth Proportional to 184.98, 255.23 and 125.98

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Solution

The fourth proportional to 184.98, 255.23 and 125.98 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.98 : 255.23 = 125.98 : x
  2. Step 2: Convert to fraction form
    184.98/255.23 = 125.98/x
  3. Step 3: Cross multiply
    184.98x = 255.23 × 125.98
  4. Step 4: Simplify right side
    184.98x = 32,153.88
  5. Step 5: Solve for x
    x = 32,153.88/184.98
  6. Step 6: Final answer
    x = 173.82

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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.