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Finding the Fourth Proportional to 189.84, 284.82 and 81.68

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Solution

The fourth proportional to 189.84, 284.82 and 81.68 is: 122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 284.82 = 81.68 : x
  2. Step 2: Convert to fraction form
    189.84/284.82 = 81.68/x
  3. Step 3: Cross multiply
    189.84x = 284.82 × 81.68
  4. Step 4: Simplify right side
    189.84x = 23,264.10
  5. Step 5: Solve for x
    x = 23,264.10/189.84
  6. Step 6: Final answer
    x = 122.55

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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.