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Finding the Fourth Proportional to 182.82, 252.24 and 105.24

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Solution

The fourth proportional to 182.82, 252.24 and 105.24 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.82 : 252.24 = 105.24 : x
  2. Step 2: Convert to fraction form
    182.82/252.24 = 105.24/x
  3. Step 3: Cross multiply
    182.82x = 252.24 × 105.24
  4. Step 4: Simplify right side
    182.82x = 26,545.74
  5. Step 5: Solve for x
    x = 26,545.74/182.82
  6. Step 6: Final answer
    x = 145.20

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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.