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Finding the Fourth Proportional to 182.84, 252.34 and 104.16

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Solution

The fourth proportional to 182.84, 252.34 and 104.16 is: 143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 252.34 = 104.16 : x
  2. Step 2: Convert to fraction form
    182.84/252.34 = 104.16/x
  3. Step 3: Cross multiply
    182.84x = 252.34 × 104.16
  4. Step 4: Simplify right side
    182.84x = 26,283.73
  5. Step 5: Solve for x
    x = 26,283.73/182.84
  6. Step 6: Final answer
    x = 143.75

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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.