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Finding the Fourth Proportional to 189.76, 261.85 and 116.10

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Solution

The fourth proportional to 189.76, 261.85 and 116.10 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 261.85 = 116.10 : x
  2. Step 2: Convert to fraction form
    189.76/261.85 = 116.10/x
  3. Step 3: Cross multiply
    189.76x = 261.85 × 116.10
  4. Step 4: Simplify right side
    189.76x = 30,400.79
  5. Step 5: Solve for x
    x = 30,400.79/189.76
  6. Step 6: Final answer
    x = 160.21

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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.