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Finding the Fourth Proportional to 631.84, 947.86 and 198.94

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Solution

The fourth proportional to 631.84, 947.86 and 198.94 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.84 : 947.86 = 198.94 : x
  2. Step 2: Convert to fraction form
    631.84/947.86 = 198.94/x
  3. Step 3: Cross multiply
    631.84x = 947.86 × 198.94
  4. Step 4: Simplify right side
    631.84x = 188,567.27
  5. Step 5: Solve for x
    x = 188,567.27/631.84
  6. Step 6: Final answer
    x = 298.44

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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.