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Finding the Fourth Proportional to 189.97, 262.16 and 111.30

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Solution

The fourth proportional to 189.97, 262.16 and 111.30 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.97 : 262.16 = 111.30 : x
  2. Step 2: Convert to fraction form
    189.97/262.16 = 111.30/x
  3. Step 3: Cross multiply
    189.97x = 262.16 × 111.30
  4. Step 4: Simplify right side
    189.97x = 29,178.69
  5. Step 5: Solve for x
    x = 29,178.69/189.97
  6. Step 6: Final answer
    x = 153.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.