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Finding the Fourth Proportional to 193.56, 289.02 and 192.24

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Solution

The fourth proportional to 193.56, 289.02 and 192.24 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 289.02 = 192.24 : x
  2. Step 2: Convert to fraction form
    193.56/289.02 = 192.24/x
  3. Step 3: Cross multiply
    193.56x = 289.02 × 192.24
  4. Step 4: Simplify right side
    193.56x = 55,561.20
  5. Step 5: Solve for x
    x = 55,561.20/193.56
  6. Step 6: Final answer
    x = 287.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.