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Finding the Fourth Proportional to 631.87, 947.95 and 193.16

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Solution

The fourth proportional to 631.87, 947.95 and 193.16 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.87 : 947.95 = 193.16 : x
  2. Step 2: Convert to fraction form
    631.87/947.95 = 193.16/x
  3. Step 3: Cross multiply
    631.87x = 947.95 × 193.16
  4. Step 4: Simplify right side
    631.87x = 183,105.54
  5. Step 5: Solve for x
    x = 183,105.54/631.87
  6. Step 6: Final answer
    x = 289.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.