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Finding the Fourth Proportional to 182.52, 272.63 and 133.34

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Solution

The fourth proportional to 182.52, 272.63 and 133.34 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.52 : 272.63 = 133.34 : x
  2. Step 2: Convert to fraction form
    182.52/272.63 = 133.34/x
  3. Step 3: Cross multiply
    182.52x = 272.63 × 133.34
  4. Step 4: Simplify right side
    182.52x = 36,351.45
  5. Step 5: Solve for x
    x = 36,351.45/182.52
  6. Step 6: Final answer
    x = 199.16

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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.