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Finding the Fourth Proportional to 184.20, 251.16 and 184.20

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Solution

The fourth proportional to 184.20, 251.16 and 184.20 is: 251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.20 : 251.16 = 184.20 : x
  2. Step 2: Convert to fraction form
    184.20/251.16 = 184.20/x
  3. Step 3: Cross multiply
    184.20x = 251.16 × 184.20
  4. Step 4: Simplify right side
    184.20x = 46,263.67
  5. Step 5: Solve for x
    x = 46,263.67/184.20
  6. Step 6: Final answer
    x = 251.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.