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Finding the Fourth Proportional to 182.48, 274.86 and 166.32

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Solution

The fourth proportional to 182.48, 274.86 and 166.32 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.48 : 274.86 = 166.32 : x
  2. Step 2: Convert to fraction form
    182.48/274.86 = 166.32/x
  3. Step 3: Cross multiply
    182.48x = 274.86 × 166.32
  4. Step 4: Simplify right side
    182.48x = 45,714.72
  5. Step 5: Solve for x
    x = 45,714.72/182.48
  6. Step 6: Final answer
    x = 250.53

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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.