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Finding the Fourth Proportional to 628.13, 942.06 and 195.19

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Solution

The fourth proportional to 628.13, 942.06 and 195.19 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 942.06 = 195.19 : x
  2. Step 2: Convert to fraction form
    628.13/942.06 = 195.19/x
  3. Step 3: Cross multiply
    628.13x = 942.06 × 195.19
  4. Step 4: Simplify right side
    628.13x = 183,880.69
  5. Step 5: Solve for x
    x = 183,880.69/628.13
  6. Step 6: Final answer
    x = 292.74

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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.