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Finding the Fourth Proportional to 182.45, 272.38 and 176.04

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Solution

The fourth proportional to 182.45, 272.38 and 176.04 is: 262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.45 : 272.38 = 176.04 : x
  2. Step 2: Convert to fraction form
    182.45/272.38 = 176.04/x
  3. Step 3: Cross multiply
    182.45x = 272.38 × 176.04
  4. Step 4: Simplify right side
    182.45x = 47,950.86
  5. Step 5: Solve for x
    x = 47,950.86/182.45
  6. Step 6: Final answer
    x = 262.81

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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.