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Finding the Fourth Proportional to 185.72, 278.83 and 94.48

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Solution

The fourth proportional to 185.72, 278.83 and 94.48 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 278.83 = 94.48 : x
  2. Step 2: Convert to fraction form
    185.72/278.83 = 94.48/x
  3. Step 3: Cross multiply
    185.72x = 278.83 × 94.48
  4. Step 4: Simplify right side
    185.72x = 26,342.58
  5. Step 5: Solve for x
    x = 26,342.58/185.72
  6. Step 6: Final answer
    x = 141.84

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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.