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Finding the Fourth Proportional to 182.24, 251.48 and 103.55

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Solution

The fourth proportional to 182.24, 251.48 and 103.55 is: 142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 251.48 = 103.55 : x
  2. Step 2: Convert to fraction form
    182.24/251.48 = 103.55/x
  3. Step 3: Cross multiply
    182.24x = 251.48 × 103.55
  4. Step 4: Simplify right side
    182.24x = 26,039.76
  5. Step 5: Solve for x
    x = 26,039.76/182.24
  6. Step 6: Final answer
    x = 142.89

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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.