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Finding the Fourth Proportional to 182.83, 252.33 and 104.15

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Solution

The fourth proportional to 182.83, 252.33 and 104.15 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.83 : 252.33 = 104.15 : x
  2. Step 2: Convert to fraction form
    182.83/252.33 = 104.15/x
  3. Step 3: Cross multiply
    182.83x = 252.33 × 104.15
  4. Step 4: Simplify right side
    182.83x = 26,278.91
  5. Step 5: Solve for x
    x = 26,278.91/182.83
  6. Step 6: Final answer
    x = 143.74

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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.