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Finding the Fourth Proportional to 182.41, 272.02 and 178.09

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Solution

The fourth proportional to 182.41, 272.02 and 178.09 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.41 : 272.02 = 178.09 : x
  2. Step 2: Convert to fraction form
    182.41/272.02 = 178.09/x
  3. Step 3: Cross multiply
    182.41x = 272.02 × 178.09
  4. Step 4: Simplify right side
    182.41x = 48,444.04
  5. Step 5: Solve for x
    x = 48,444.04/182.41
  6. Step 6: Final answer
    x = 265.58

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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.