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Finding the Fourth Proportional to 185.65, 278.42 and 75.93

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Solution

The fourth proportional to 185.65, 278.42 and 75.93 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.65 : 278.42 = 75.93 : x
  2. Step 2: Convert to fraction form
    185.65/278.42 = 75.93/x
  3. Step 3: Cross multiply
    185.65x = 278.42 × 75.93
  4. Step 4: Simplify right side
    185.65x = 21,140.43
  5. Step 5: Solve for x
    x = 21,140.43/185.65
  6. Step 6: Final answer
    x = 113.87

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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.