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Finding the Fourth Proportional to 370.98, 556.27 and 185.68

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Solution

The fourth proportional to 370.98, 556.27 and 185.68 is: 278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.98 : 556.27 = 185.68 : x
  2. Step 2: Convert to fraction form
    370.98/556.27 = 185.68/x
  3. Step 3: Cross multiply
    370.98x = 556.27 × 185.68
  4. Step 4: Simplify right side
    370.98x = 103,288.21
  5. Step 5: Solve for x
    x = 103,288.21/370.98
  6. Step 6: Final answer
    x = 278.42

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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.