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Finding the Fourth Proportional to 184.50, 276.21 and 139.03

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Solution

The fourth proportional to 184.50, 276.21 and 139.03 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 276.21 = 139.03 : x
  2. Step 2: Convert to fraction form
    184.50/276.21 = 139.03/x
  3. Step 3: Cross multiply
    184.50x = 276.21 × 139.03
  4. Step 4: Simplify right side
    184.50x = 38,401.48
  5. Step 5: Solve for x
    x = 38,401.48/184.50
  6. Step 6: Final answer
    x = 208.14

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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.