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Finding the Fourth Proportional to 182.92, 272.36 and 175.54

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Solution

The fourth proportional to 182.92, 272.36 and 175.54 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.92 : 272.36 = 175.54 : x
  2. Step 2: Convert to fraction form
    182.92/272.36 = 175.54/x
  3. Step 3: Cross multiply
    182.92x = 272.36 × 175.54
  4. Step 4: Simplify right side
    182.92x = 47,810.07
  5. Step 5: Solve for x
    x = 47,810.07/182.92
  6. Step 6: Final answer
    x = 261.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.