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Finding the Fourth Proportional to 189.84, 284.44 and 175.44

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Solution

The fourth proportional to 189.84, 284.44 and 175.44 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 284.44 = 175.44 : x
  2. Step 2: Convert to fraction form
    189.84/284.44 = 175.44/x
  3. Step 3: Cross multiply
    189.84x = 284.44 × 175.44
  4. Step 4: Simplify right side
    189.84x = 49,902.15
  5. Step 5: Solve for x
    x = 49,902.15/189.84
  6. Step 6: Final answer
    x = 262.86

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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.