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Finding the Fourth Proportional to 182.23, 272.71 and 149.35

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Solution

The fourth proportional to 182.23, 272.71 and 149.35 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.23 : 272.71 = 149.35 : x
  2. Step 2: Convert to fraction form
    182.23/272.71 = 149.35/x
  3. Step 3: Cross multiply
    182.23x = 272.71 × 149.35
  4. Step 4: Simplify right side
    182.23x = 40,729.24
  5. Step 5: Solve for x
    x = 40,729.24/182.23
  6. Step 6: Final answer
    x = 223.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.