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Finding the Fourth Proportional to 189.84, 284.60 and 126.08

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Solution

The fourth proportional to 189.84, 284.60 and 126.08 is: 189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 284.60 = 126.08 : x
  2. Step 2: Convert to fraction form
    189.84/284.60 = 126.08/x
  3. Step 3: Cross multiply
    189.84x = 284.60 × 126.08
  4. Step 4: Simplify right side
    189.84x = 35,882.37
  5. Step 5: Solve for x
    x = 35,882.37/189.84
  6. Step 6: Final answer
    x = 189.01

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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.