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Finding the Fourth Proportional to 182.65, 251.99 and 103.95

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Solution

The fourth proportional to 182.65, 251.99 and 103.95 is: 143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.65 : 251.99 = 103.95 : x
  2. Step 2: Convert to fraction form
    182.65/251.99 = 103.95/x
  3. Step 3: Cross multiply
    182.65x = 251.99 × 103.95
  4. Step 4: Simplify right side
    182.65x = 26,194.36
  5. Step 5: Solve for x
    x = 26,194.36/182.65
  6. Step 6: Final answer
    x = 143.41

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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.