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Finding the Fourth Proportional to 184.79, 254.85 and 180.33

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Solution

The fourth proportional to 184.79, 254.85 and 180.33 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.79 : 254.85 = 180.33 : x
  2. Step 2: Convert to fraction form
    184.79/254.85 = 180.33/x
  3. Step 3: Cross multiply
    184.79x = 254.85 × 180.33
  4. Step 4: Simplify right side
    184.79x = 45,957.10
  5. Step 5: Solve for x
    x = 45,957.10/184.79
  6. Step 6: Final answer
    x = 248.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.