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Finding the Fourth Proportional to 506.31, 759.12 and 198.00

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Solution

The fourth proportional to 506.31, 759.12 and 198.00 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 759.12 = 198.00 : x
  2. Step 2: Convert to fraction form
    506.31/759.12 = 198.00/x
  3. Step 3: Cross multiply
    506.31x = 759.12 × 198.00
  4. Step 4: Simplify right side
    506.31x = 150,307.71
  5. Step 5: Solve for x
    x = 150,307.71/506.31
  6. Step 6: Final answer
    x = 296.87

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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.