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Finding the Fourth Proportional to 151.38, 226.44 and 121.01

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Solution

The fourth proportional to 151.38, 226.44 and 121.01 is: 181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 226.44 = 121.01 : x
  2. Step 2: Convert to fraction form
    151.38/226.44 = 121.01/x
  3. Step 3: Cross multiply
    151.38x = 226.44 × 121.01
  4. Step 4: Simplify right side
    151.38x = 27,400.37
  5. Step 5: Solve for x
    x = 27,400.37/151.38
  6. Step 6: Final answer
    x = 181.00

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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.