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Finding the Fourth Proportional to 184.09, 254.17 and 140.52

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Solution

The fourth proportional to 184.09, 254.17 and 140.52 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.09 : 254.17 = 140.52 : x
  2. Step 2: Convert to fraction form
    184.09/254.17 = 140.52/x
  3. Step 3: Cross multiply
    184.09x = 254.17 × 140.52
  4. Step 4: Simplify right side
    184.09x = 35,715.97
  5. Step 5: Solve for x
    x = 35,715.97/184.09
  6. Step 6: Final answer
    x = 194.01

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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.