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Finding the Fourth Proportional to 189.53, 284.21 and 102.85

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Solution

The fourth proportional to 189.53, 284.21 and 102.85 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.53 : 284.21 = 102.85 : x
  2. Step 2: Convert to fraction form
    189.53/284.21 = 102.85/x
  3. Step 3: Cross multiply
    189.53x = 284.21 × 102.85
  4. Step 4: Simplify right side
    189.53x = 29,231.00
  5. Step 5: Solve for x
    x = 29,231.00/189.53
  6. Step 6: Final answer
    x = 154.23

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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.