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Finding the Fourth Proportional to 182.52, 251.82 and 117.06

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Solution

The fourth proportional to 182.52, 251.82 and 117.06 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.52 : 251.82 = 117.06 : x
  2. Step 2: Convert to fraction form
    182.52/251.82 = 117.06/x
  3. Step 3: Cross multiply
    182.52x = 251.82 × 117.06
  4. Step 4: Simplify right side
    182.52x = 29,478.05
  5. Step 5: Solve for x
    x = 29,478.05/182.52
  6. Step 6: Final answer
    x = 161.51

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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.