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Finding the Fourth Proportional to 184.96, 253.74 and 179.90

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Solution

The fourth proportional to 184.96, 253.74 and 179.90 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.96 : 253.74 = 179.90 : x
  2. Step 2: Convert to fraction form
    184.96/253.74 = 179.90/x
  3. Step 3: Cross multiply
    184.96x = 253.74 × 179.90
  4. Step 4: Simplify right side
    184.96x = 45,647.83
  5. Step 5: Solve for x
    x = 45,647.83/184.96
  6. Step 6: Final answer
    x = 246.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.