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Finding the Fourth Proportional to 185.15, 277.27 and 107.93

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Solution

The fourth proportional to 185.15, 277.27 and 107.93 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.15 : 277.27 = 107.93 : x
  2. Step 2: Convert to fraction form
    185.15/277.27 = 107.93/x
  3. Step 3: Cross multiply
    185.15x = 277.27 × 107.93
  4. Step 4: Simplify right side
    185.15x = 29,925.75
  5. Step 5: Solve for x
    x = 29,925.75/185.15
  6. Step 6: Final answer
    x = 161.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.