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Finding the Fourth Proportional to 182.29, 271.93 and 169.19

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Solution

The fourth proportional to 182.29, 271.93 and 169.19 is: 252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.29 : 271.93 = 169.19 : x
  2. Step 2: Convert to fraction form
    182.29/271.93 = 169.19/x
  3. Step 3: Cross multiply
    182.29x = 271.93 × 169.19
  4. Step 4: Simplify right side
    182.29x = 46,007.84
  5. Step 5: Solve for x
    x = 46,007.84/182.29
  6. Step 6: Final answer
    x = 252.40

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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.