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Finding the Fourth Proportional to 184.34, 276.14 and 123.14

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Solution

The fourth proportional to 184.34, 276.14 and 123.14 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.34 : 276.14 = 123.14 : x
  2. Step 2: Convert to fraction form
    184.34/276.14 = 123.14/x
  3. Step 3: Cross multiply
    184.34x = 276.14 × 123.14
  4. Step 4: Simplify right side
    184.34x = 34,003.88
  5. Step 5: Solve for x
    x = 34,003.88/184.34
  6. Step 6: Final answer
    x = 184.46

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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.