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Finding the Fourth Proportional to 189.48, 261.49 and 105.46

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Solution

The fourth proportional to 189.48, 261.49 and 105.46 is: 145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.48 : 261.49 = 105.46 : x
  2. Step 2: Convert to fraction form
    189.48/261.49 = 105.46/x
  3. Step 3: Cross multiply
    189.48x = 261.49 × 105.46
  4. Step 4: Simplify right side
    189.48x = 27,575.55
  5. Step 5: Solve for x
    x = 27,575.55/189.48
  6. Step 6: Final answer
    x = 145.53

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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.