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Finding the Fourth Proportional to 184.89, 275.66 and 180.16

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Solution

The fourth proportional to 184.89, 275.66 and 180.16 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.89 : 275.66 = 180.16 : x
  2. Step 2: Convert to fraction form
    184.89/275.66 = 180.16/x
  3. Step 3: Cross multiply
    184.89x = 275.66 × 180.16
  4. Step 4: Simplify right side
    184.89x = 49,662.91
  5. Step 5: Solve for x
    x = 49,662.91/184.89
  6. Step 6: Final answer
    x = 268.61

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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.