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Finding the Fourth Proportional to 506.84, 760.16 and 198.83

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Solution

The fourth proportional to 506.84, 760.16 and 198.83 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 760.16 = 198.83 : x
  2. Step 2: Convert to fraction form
    506.84/760.16 = 198.83/x
  3. Step 3: Cross multiply
    506.84x = 760.16 × 198.83
  4. Step 4: Simplify right side
    506.84x = 151,145.01
  5. Step 5: Solve for x
    x = 151,145.01/506.84
  6. Step 6: Final answer
    x = 298.21

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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.