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Finding the Fourth Proportional to 184.63, 276.68 and 162.92

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Solution

The fourth proportional to 184.63, 276.68 and 162.92 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.63 : 276.68 = 162.92 : x
  2. Step 2: Convert to fraction form
    184.63/276.68 = 162.92/x
  3. Step 3: Cross multiply
    184.63x = 276.68 × 162.92
  4. Step 4: Simplify right side
    184.63x = 45,076.42
  5. Step 5: Solve for x
    x = 45,076.42/184.63
  6. Step 6: Final answer
    x = 244.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.