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Finding the Fourth Proportional to 189.65, 284.23 and 92.07

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Solution

The fourth proportional to 189.65, 284.23 and 92.07 is: 137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.65 : 284.23 = 92.07 : x
  2. Step 2: Convert to fraction form
    189.65/284.23 = 92.07/x
  3. Step 3: Cross multiply
    189.65x = 284.23 × 92.07
  4. Step 4: Simplify right side
    189.65x = 26,170.63
  5. Step 5: Solve for x
    x = 26,170.63/189.65
  6. Step 6: Final answer
    x = 137.99

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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.