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Finding the Fourth Proportional to 189.82, 284.16 and 116.50

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Solution

The fourth proportional to 189.82, 284.16 and 116.50 is: 174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 284.16 = 116.50 : x
  2. Step 2: Convert to fraction form
    189.82/284.16 = 116.50/x
  3. Step 3: Cross multiply
    189.82x = 284.16 × 116.50
  4. Step 4: Simplify right side
    189.82x = 33,104.64
  5. Step 5: Solve for x
    x = 33,104.64/189.82
  6. Step 6: Final answer
    x = 174.40

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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.