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Finding the Fourth Proportional to 184.86, 254.83 and 145.44

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Solution

The fourth proportional to 184.86, 254.83 and 145.44 is: 200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.86 : 254.83 = 145.44 : x
  2. Step 2: Convert to fraction form
    184.86/254.83 = 145.44/x
  3. Step 3: Cross multiply
    184.86x = 254.83 × 145.44
  4. Step 4: Simplify right side
    184.86x = 37,062.94
  5. Step 5: Solve for x
    x = 37,062.94/184.86
  6. Step 6: Final answer
    x = 200.49

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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.