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Finding the Fourth Proportional to 184.37, 254.39 and 110.66

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Solution

The fourth proportional to 184.37, 254.39 and 110.66 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.37 : 254.39 = 110.66 : x
  2. Step 2: Convert to fraction form
    184.37/254.39 = 110.66/x
  3. Step 3: Cross multiply
    184.37x = 254.39 × 110.66
  4. Step 4: Simplify right side
    184.37x = 28,148.97
  5. Step 5: Solve for x
    x = 28,148.97/184.37
  6. Step 6: Final answer
    x = 152.68

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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.