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Finding the Fourth Proportional to 184.74, 251.70 and 180.78

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Solution

The fourth proportional to 184.74, 251.70 and 180.78 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 251.70 = 180.78 : x
  2. Step 2: Convert to fraction form
    184.74/251.70 = 180.78/x
  3. Step 3: Cross multiply
    184.74x = 251.70 × 180.78
  4. Step 4: Simplify right side
    184.74x = 45,502.33
  5. Step 5: Solve for x
    x = 45,502.33/184.74
  6. Step 6: Final answer
    x = 246.30

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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.