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Finding the Fourth Proportional to 150.82, 226.01 and 118.66

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Solution

The fourth proportional to 150.82, 226.01 and 118.66 is: 177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.01 = 118.66 : x
  2. Step 2: Convert to fraction form
    150.82/226.01 = 118.66/x
  3. Step 3: Cross multiply
    150.82x = 226.01 × 118.66
  4. Step 4: Simplify right side
    150.82x = 26,818.35
  5. Step 5: Solve for x
    x = 26,818.35/150.82
  6. Step 6: Final answer
    x = 177.82

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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.