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Finding the Fourth Proportional to 189.65, 284.05 and 98.43

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Solution

The fourth proportional to 189.65, 284.05 and 98.43 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.65 : 284.05 = 98.43 : x
  2. Step 2: Convert to fraction form
    189.65/284.05 = 98.43/x
  3. Step 3: Cross multiply
    189.65x = 284.05 × 98.43
  4. Step 4: Simplify right side
    189.65x = 27,959.04
  5. Step 5: Solve for x
    x = 27,959.04/189.65
  6. Step 6: Final answer
    x = 147.42

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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.