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Finding the Fourth Proportional to 182.63, 251.98 and 117.22

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Solution

The fourth proportional to 182.63, 251.98 and 117.22 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.63 : 251.98 = 117.22 : x
  2. Step 2: Convert to fraction form
    182.63/251.98 = 117.22/x
  3. Step 3: Cross multiply
    182.63x = 251.98 × 117.22
  4. Step 4: Simplify right side
    182.63x = 29,537.78
  5. Step 5: Solve for x
    x = 29,537.78/182.63
  6. Step 6: Final answer
    x = 161.74

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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.