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Finding the Fourth Proportional to 151.44, 225.82 and 150.06

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Solution

The fourth proportional to 151.44, 225.82 and 150.06 is: 223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.44 : 225.82 = 150.06 : x
  2. Step 2: Convert to fraction form
    151.44/225.82 = 150.06/x
  3. Step 3: Cross multiply
    151.44x = 225.82 × 150.06
  4. Step 4: Simplify right side
    151.44x = 33,887.58
  5. Step 5: Solve for x
    x = 33,887.58/151.44
  6. Step 6: Final answer
    x = 223.77

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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.