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Finding the Fourth Proportional to 184.49, 276.50 and 133.23

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Solution

The fourth proportional to 184.49, 276.50 and 133.23 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.49 : 276.50 = 133.23 : x
  2. Step 2: Convert to fraction form
    184.49/276.50 = 133.23/x
  3. Step 3: Cross multiply
    184.49x = 276.50 × 133.23
  4. Step 4: Simplify right side
    184.49x = 36,837.16
  5. Step 5: Solve for x
    x = 36,837.16/184.49
  6. Step 6: Final answer
    x = 199.67

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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.