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Finding the Fourth Proportional to 182.38, 271.97 and 162.71

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Solution

The fourth proportional to 182.38, 271.97 and 162.71 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 271.97 = 162.71 : x
  2. Step 2: Convert to fraction form
    182.38/271.97 = 162.71/x
  3. Step 3: Cross multiply
    182.38x = 271.97 × 162.71
  4. Step 4: Simplify right side
    182.38x = 44,252.24
  5. Step 5: Solve for x
    x = 44,252.24/182.38
  6. Step 6: Final answer
    x = 242.64

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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.