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Finding the Fourth Proportional to 182.39, 271.99 and 170.09

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Solution

The fourth proportional to 182.39, 271.99 and 170.09 is: 253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 271.99 = 170.09 : x
  2. Step 2: Convert to fraction form
    182.39/271.99 = 170.09/x
  3. Step 3: Cross multiply
    182.39x = 271.99 × 170.09
  4. Step 4: Simplify right side
    182.39x = 46,262.65
  5. Step 5: Solve for x
    x = 46,262.65/182.39
  6. Step 6: Final answer
    x = 253.65

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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.