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Finding the Fourth Proportional to 189.93, 261.90 and 119.91

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Solution

The fourth proportional to 189.93, 261.90 and 119.91 is: 165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 261.90 = 119.91 : x
  2. Step 2: Convert to fraction form
    189.93/261.90 = 119.91/x
  3. Step 3: Cross multiply
    189.93x = 261.90 × 119.91
  4. Step 4: Simplify right side
    189.93x = 31,405.41
  5. Step 5: Solve for x
    x = 31,405.41/189.93
  6. Step 6: Final answer
    x = 165.35

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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.