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Finding the Fourth Proportional to 189.20, 284.04 and 121.16

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Solution

The fourth proportional to 189.20, 284.04 and 121.16 is: 181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.20 : 284.04 = 121.16 : x
  2. Step 2: Convert to fraction form
    189.20/284.04 = 121.16/x
  3. Step 3: Cross multiply
    189.20x = 284.04 × 121.16
  4. Step 4: Simplify right side
    189.20x = 34,415.00
  5. Step 5: Solve for x
    x = 34,415.00/189.20
  6. Step 6: Final answer
    x = 181.90

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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.