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Finding the Fourth Proportional to 181.89, 270.92 and 152.37

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Solution

The fourth proportional to 181.89, 270.92 and 152.37 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.89 : 270.92 = 152.37 : x
  2. Step 2: Convert to fraction form
    181.89/270.92 = 152.37/x
  3. Step 3: Cross multiply
    181.89x = 270.92 × 152.37
  4. Step 4: Simplify right side
    181.89x = 41,280.46
  5. Step 5: Solve for x
    x = 41,280.46/181.89
  6. Step 6: Final answer
    x = 226.95

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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.