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Finding the Fourth Proportional to 189.66, 261.63 and 116.02

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Solution

The fourth proportional to 189.66, 261.63 and 116.02 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 261.63 = 116.02 : x
  2. Step 2: Convert to fraction form
    189.66/261.63 = 116.02/x
  3. Step 3: Cross multiply
    189.66x = 261.63 × 116.02
  4. Step 4: Simplify right side
    189.66x = 30,354.31
  5. Step 5: Solve for x
    x = 30,354.31/189.66
  6. Step 6: Final answer
    x = 160.05

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Why These Related Problems?

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