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Finding the Fourth Proportional to 189.49, 284.07 and 102.82

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Solution

The fourth proportional to 189.49, 284.07 and 102.82 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.49 : 284.07 = 102.82 : x
  2. Step 2: Convert to fraction form
    189.49/284.07 = 102.82/x
  3. Step 3: Cross multiply
    189.49x = 284.07 × 102.82
  4. Step 4: Simplify right side
    189.49x = 29,208.08
  5. Step 5: Solve for x
    x = 29,208.08/189.49
  6. Step 6: Final answer
    x = 154.14

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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.