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Finding the Fourth Proportional to 184.96, 253.69 and 174.44

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Solution

The fourth proportional to 184.96, 253.69 and 174.44 is: 239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.96 : 253.69 = 174.44 : x
  2. Step 2: Convert to fraction form
    184.96/253.69 = 174.44/x
  3. Step 3: Cross multiply
    184.96x = 253.69 × 174.44
  4. Step 4: Simplify right side
    184.96x = 44,253.68
  5. Step 5: Solve for x
    x = 44,253.68/184.96
  6. Step 6: Final answer
    x = 239.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.