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Finding the Fourth Proportional to 189.44, 284.16 and 96.84

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Solution

The fourth proportional to 189.44, 284.16 and 96.84 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.44 : 284.16 = 96.84 : x
  2. Step 2: Convert to fraction form
    189.44/284.16 = 96.84/x
  3. Step 3: Cross multiply
    189.44x = 284.16 × 96.84
  4. Step 4: Simplify right side
    189.44x = 27,518.05
  5. Step 5: Solve for x
    x = 27,518.05/189.44
  6. Step 6: Final answer
    x = 145.26

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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.