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Finding the Fourth Proportional to 184.56, 275.70 and 180.96

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Solution

The fourth proportional to 184.56, 275.70 and 180.96 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 275.70 = 180.96 : x
  2. Step 2: Convert to fraction form
    184.56/275.70 = 180.96/x
  3. Step 3: Cross multiply
    184.56x = 275.70 × 180.96
  4. Step 4: Simplify right side
    184.56x = 49,890.67
  5. Step 5: Solve for x
    x = 49,890.67/184.56
  6. Step 6: Final answer
    x = 270.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.