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Finding the Fourth Proportional to 564, 846.14 and 198.73

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Solution

The fourth proportional to 564, 846.14 and 198.73 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 846.14 = 198.73 : x
  2. Step 2: Convert to fraction form
    564/846.14 = 198.73/x
  3. Step 3: Cross multiply
    564x = 846.14 × 198.73
  4. Step 4: Simplify right side
    564x = 168,153.40
  5. Step 5: Solve for x
    x = 168,153.40/564
  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.