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Finding the Fourth Proportional to 631.60, 947.40 and 198.76

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Solution

The fourth proportional to 631.60, 947.40 and 198.76 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 947.40 = 198.76 : x
  2. Step 2: Convert to fraction form
    631.60/947.40 = 198.76/x
  3. Step 3: Cross multiply
    631.60x = 947.40 × 198.76
  4. Step 4: Simplify right side
    631.60x = 188,305.22
  5. Step 5: Solve for x
    x = 188,305.22/631.60
  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.