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Finding the Fourth Proportional to 762.33, 1,143.50 and 185.21

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Solution

The fourth proportional to 762.33, 1,143.50 and 185.21 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.33 : 1,143.50 = 185.21 : x
  2. Step 2: Convert to fraction form
    762.33/1,143.50 = 185.21/x
  3. Step 3: Cross multiply
    762.33x = 1,143.50 × 185.21
  4. Step 4: Simplify right side
    762.33x = 211,780.99
  5. Step 5: Solve for x
    x = 211,780.99/762.33
  6. Step 6: Final answer
    x = 277.81

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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.