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Finding the Fourth Proportional to 182.28, 250.89 and 157.56

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Solution

The fourth proportional to 182.28, 250.89 and 157.56 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.28 : 250.89 = 157.56 : x
  2. Step 2: Convert to fraction form
    182.28/250.89 = 157.56/x
  3. Step 3: Cross multiply
    182.28x = 250.89 × 157.56
  4. Step 4: Simplify right side
    182.28x = 39,530.23
  5. Step 5: Solve for x
    x = 39,530.23/182.28
  6. Step 6: Final answer
    x = 216.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.