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Finding the Fourth Proportional to 182.72, 272.88 and 162.56

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Solution

The fourth proportional to 182.72, 272.88 and 162.56 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.72 : 272.88 = 162.56 : x
  2. Step 2: Convert to fraction form
    182.72/272.88 = 162.56/x
  3. Step 3: Cross multiply
    182.72x = 272.88 × 162.56
  4. Step 4: Simplify right side
    182.72x = 44,359.85
  5. Step 5: Solve for x
    x = 44,359.85/182.72
  6. Step 6: Final answer
    x = 242.77

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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.