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Finding the Fourth Proportional to 182.81, 251.77 and 158.24

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Solution

The fourth proportional to 182.81, 251.77 and 158.24 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 251.77 = 158.24 : x
  2. Step 2: Convert to fraction form
    182.81/251.77 = 158.24/x
  3. Step 3: Cross multiply
    182.81x = 251.77 × 158.24
  4. Step 4: Simplify right side
    182.81x = 39,840.08
  5. Step 5: Solve for x
    x = 39,840.08/182.81
  6. Step 6: Final answer
    x = 217.93

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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.