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Finding the Fourth Proportional to 189.08, 282.10 and 170.96

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Solution

The fourth proportional to 189.08, 282.10 and 170.96 is: 255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.08 : 282.10 = 170.96 : x
  2. Step 2: Convert to fraction form
    189.08/282.10 = 170.96/x
  3. Step 3: Cross multiply
    189.08x = 282.10 × 170.96
  4. Step 4: Simplify right side
    189.08x = 48,227.82
  5. Step 5: Solve for x
    x = 48,227.82/189.08
  6. Step 6: Final answer
    x = 255.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.