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Finding the Fourth Proportional to 370.82, 556.50 and 185.78

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Solution

The fourth proportional to 370.82, 556.50 and 185.78 is: 278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.82 : 556.50 = 185.78 : x
  2. Step 2: Convert to fraction form
    370.82/556.50 = 185.78/x
  3. Step 3: Cross multiply
    370.82x = 556.50 × 185.78
  4. Step 4: Simplify right side
    370.82x = 103,386.57
  5. Step 5: Solve for x
    x = 103,386.57/370.82
  6. Step 6: Final answer
    x = 278.81

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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.