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Finding the Fourth Proportional to 189.06, 284.01 and 116.12

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Solution

The fourth proportional to 189.06, 284.01 and 116.12 is: 174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.06 : 284.01 = 116.12 : x
  2. Step 2: Convert to fraction form
    189.06/284.01 = 116.12/x
  3. Step 3: Cross multiply
    189.06x = 284.01 × 116.12
  4. Step 4: Simplify right side
    189.06x = 32,979.24
  5. Step 5: Solve for x
    x = 32,979.24/189.06
  6. Step 6: Final answer
    x = 174.44

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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.