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Finding the Fourth Proportional to 182.82, 252.25 and 147.83

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Solution

The fourth proportional to 182.82, 252.25 and 147.83 is: 203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.82 : 252.25 = 147.83 : x
  2. Step 2: Convert to fraction form
    182.82/252.25 = 147.83/x
  3. Step 3: Cross multiply
    182.82x = 252.25 × 147.83
  4. Step 4: Simplify right side
    182.82x = 37,288.49
  5. Step 5: Solve for x
    x = 37,288.49/182.82
  6. Step 6: Final answer
    x = 203.96

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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.