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Finding the Fourth Proportional to 182.33, 272 and 177.37

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Solution

The fourth proportional to 182.33, 272 and 177.37 is: 264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.33 : 272 = 177.37 : x
  2. Step 2: Convert to fraction form
    182.33/272 = 177.37/x
  3. Step 3: Cross multiply
    182.33x = 272 × 177.37
  4. Step 4: Simplify right side
    182.33x = 48,244.64
  5. Step 5: Solve for x
    x = 48,244.64/182.33
  6. Step 6: Final answer
    x = 264.60

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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.