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Finding the Fourth Proportional to 185.76, 278.37 and 94.23

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Solution

The fourth proportional to 185.76, 278.37 and 94.23 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 278.37 = 94.23 : x
  2. Step 2: Convert to fraction form
    185.76/278.37 = 94.23/x
  3. Step 3: Cross multiply
    185.76x = 278.37 × 94.23
  4. Step 4: Simplify right side
    185.76x = 26,230.81
  5. Step 5: Solve for x
    x = 26,230.81/185.76
  6. Step 6: Final answer
    x = 141.21

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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.