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Finding the Fourth Proportional to 182.16, 274.62 and 162.12

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Solution

The fourth proportional to 182.16, 274.62 and 162.12 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 274.62 = 162.12 : x
  2. Step 2: Convert to fraction form
    182.16/274.62 = 162.12/x
  3. Step 3: Cross multiply
    182.16x = 274.62 × 162.12
  4. Step 4: Simplify right side
    182.16x = 44,521.39
  5. Step 5: Solve for x
    x = 44,521.39/182.16
  6. Step 6: Final answer
    x = 244.41

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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.