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Finding the Fourth Proportional to 181.54, 250.38 and 146.56

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Solution

The fourth proportional to 181.54, 250.38 and 146.56 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.54 : 250.38 = 146.56 : x
  2. Step 2: Convert to fraction form
    181.54/250.38 = 146.56/x
  3. Step 3: Cross multiply
    181.54x = 250.38 × 146.56
  4. Step 4: Simplify right side
    181.54x = 36,695.69
  5. Step 5: Solve for x
    x = 36,695.69/181.54
  6. Step 6: Final answer
    x = 202.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.