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Finding the Fourth Proportional to 182.39, 272.12 and 160.52

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Solution

The fourth proportional to 182.39, 272.12 and 160.52 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 272.12 = 160.52 : x
  2. Step 2: Convert to fraction form
    182.39/272.12 = 160.52/x
  3. Step 3: Cross multiply
    182.39x = 272.12 × 160.52
  4. Step 4: Simplify right side
    182.39x = 43,680.58
  5. Step 5: Solve for x
    x = 43,680.58/182.39
  6. Step 6: Final answer
    x = 239.49

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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.