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Finding the Fourth Proportional to 182.65, 251.89 and 120.47

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Solution

The fourth proportional to 182.65, 251.89 and 120.47 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.65 : 251.89 = 120.47 : x
  2. Step 2: Convert to fraction form
    182.65/251.89 = 120.47/x
  3. Step 3: Cross multiply
    182.65x = 251.89 × 120.47
  4. Step 4: Simplify right side
    182.65x = 30,343.93
  5. Step 5: Solve for x
    x = 30,343.93/182.65
  6. Step 6: Final answer
    x = 166.13

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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.