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Finding the Fourth Proportional to 631.54, 947.45 and 198.70

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Solution

The fourth proportional to 631.54, 947.45 and 198.70 is: 298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.54 : 947.45 = 198.70 : x
  2. Step 2: Convert to fraction form
    631.54/947.45 = 198.70/x
  3. Step 3: Cross multiply
    631.54x = 947.45 × 198.70
  4. Step 4: Simplify right side
    631.54x = 188,258.32
  5. Step 5: Solve for x
    x = 188,258.32/631.54
  6. Step 6: Final answer
    x = 298.09

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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.