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Finding the Fourth Proportional to 193.24, 288.62 and 182.72

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Solution

The fourth proportional to 193.24, 288.62 and 182.72 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 288.62 = 182.72 : x
  2. Step 2: Convert to fraction form
    193.24/288.62 = 182.72/x
  3. Step 3: Cross multiply
    193.24x = 288.62 × 182.72
  4. Step 4: Simplify right side
    193.24x = 52,736.65
  5. Step 5: Solve for x
    x = 52,736.65/193.24
  6. Step 6: Final answer
    x = 272.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.