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Finding the Fourth Proportional to 182.36, 274.52 and 165.60

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Solution

The fourth proportional to 182.36, 274.52 and 165.60 is: 249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 274.52 = 165.60 : x
  2. Step 2: Convert to fraction form
    182.36/274.52 = 165.60/x
  3. Step 3: Cross multiply
    182.36x = 274.52 × 165.60
  4. Step 4: Simplify right side
    182.36x = 45,460.51
  5. Step 5: Solve for x
    x = 45,460.51/182.36
  6. Step 6: Final answer
    x = 249.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.