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Finding the Fourth Proportional to 182.94, 272.37 and 173.63

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Solution

The fourth proportional to 182.94, 272.37 and 173.63 is: 258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 272.37 = 173.63 : x
  2. Step 2: Convert to fraction form
    182.94/272.37 = 173.63/x
  3. Step 3: Cross multiply
    182.94x = 272.37 × 173.63
  4. Step 4: Simplify right side
    182.94x = 47,290.24
  5. Step 5: Solve for x
    x = 47,290.24/182.94
  6. Step 6: Final answer
    x = 258.50

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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.