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Finding the Fourth Proportional to 184.09, 254.07 and 154.93

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Solution

The fourth proportional to 184.09, 254.07 and 154.93 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.09 : 254.07 = 154.93 : x
  2. Step 2: Convert to fraction form
    184.09/254.07 = 154.93/x
  3. Step 3: Cross multiply
    184.09x = 254.07 × 154.93
  4. Step 4: Simplify right side
    184.09x = 39,363.07
  5. Step 5: Solve for x
    x = 39,363.07/184.09
  6. Step 6: Final answer
    x = 213.83

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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.