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Finding the Fourth Proportional to 182.12, 250.73 and 159.10

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Solution

The fourth proportional to 182.12, 250.73 and 159.10 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 250.73 = 159.10 : x
  2. Step 2: Convert to fraction form
    182.12/250.73 = 159.10/x
  3. Step 3: Cross multiply
    182.12x = 250.73 × 159.10
  4. Step 4: Simplify right side
    182.12x = 39,891.14
  5. Step 5: Solve for x
    x = 39,891.14/182.12
  6. Step 6: Final answer
    x = 219.04

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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.