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Finding the Fourth Proportional to 189.76, 284.39 and 116.66

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Solution

The fourth proportional to 189.76, 284.39 and 116.66 is: 174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 284.39 = 116.66 : x
  2. Step 2: Convert to fraction form
    189.76/284.39 = 116.66/x
  3. Step 3: Cross multiply
    189.76x = 284.39 × 116.66
  4. Step 4: Simplify right side
    189.76x = 33,176.94
  5. Step 5: Solve for x
    x = 33,176.94/189.76
  6. Step 6: Final answer
    x = 174.84

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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.