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Finding the Fourth Proportional to 506.85, 760.62 and 198.67

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Solution

The fourth proportional to 506.85, 760.62 and 198.67 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.85 : 760.62 = 198.67 : x
  2. Step 2: Convert to fraction form
    506.85/760.62 = 198.67/x
  3. Step 3: Cross multiply
    506.85x = 760.62 × 198.67
  4. Step 4: Simplify right side
    506.85x = 151,110.72
  5. Step 5: Solve for x
    x = 151,110.72/506.85
  6. Step 6: Final answer
    x = 298.14

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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.