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Finding the Fourth Proportional to 189.69, 284.64 and 116.60

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Solution

The fourth proportional to 189.69, 284.64 and 116.60 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.69 : 284.64 = 116.60 : x
  2. Step 2: Convert to fraction form
    189.69/284.64 = 116.60/x
  3. Step 3: Cross multiply
    189.69x = 284.64 × 116.60
  4. Step 4: Simplify right side
    189.69x = 33,189.02
  5. Step 5: Solve for x
    x = 33,189.02/189.69
  6. Step 6: Final answer
    x = 174.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.