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Finding the Fourth Proportional to 184.25, 274.61 and 173.99

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Solution

The fourth proportional to 184.25, 274.61 and 173.99 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.25 : 274.61 = 173.99 : x
  2. Step 2: Convert to fraction form
    184.25/274.61 = 173.99/x
  3. Step 3: Cross multiply
    184.25x = 274.61 × 173.99
  4. Step 4: Simplify right side
    184.25x = 47,780.52
  5. Step 5: Solve for x
    x = 47,780.52/184.25
  6. Step 6: Final answer
    x = 259.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.