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Finding the Fourth Proportional to 184.44, 275.42 and 182.42

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Solution

The fourth proportional to 184.44, 275.42 and 182.42 is: 272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.44 : 275.42 = 182.42 : x
  2. Step 2: Convert to fraction form
    184.44/275.42 = 182.42/x
  3. Step 3: Cross multiply
    184.44x = 275.42 × 182.42
  4. Step 4: Simplify right side
    184.44x = 50,242.12
  5. Step 5: Solve for x
    x = 50,242.12/184.44
  6. Step 6: Final answer
    x = 272.40

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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.