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Finding the Fourth Proportional to 182.48, 272.38 and 156.96

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Solution

The fourth proportional to 182.48, 272.38 and 156.96 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.48 : 272.38 = 156.96 : x
  2. Step 2: Convert to fraction form
    182.48/272.38 = 156.96/x
  3. Step 3: Cross multiply
    182.48x = 272.38 × 156.96
  4. Step 4: Simplify right side
    182.48x = 42,751.98
  5. Step 5: Solve for x
    x = 42,751.98/182.48
  6. Step 6: Final answer
    x = 234.29

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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.