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Finding the Fourth Proportional to 150.53, 226.58 and 118.22

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Solution

The fourth proportional to 150.53, 226.58 and 118.22 is: 177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.53 : 226.58 = 118.22 : x
  2. Step 2: Convert to fraction form
    150.53/226.58 = 118.22/x
  3. Step 3: Cross multiply
    150.53x = 226.58 × 118.22
  4. Step 4: Simplify right side
    150.53x = 26,784.56
  5. Step 5: Solve for x
    x = 26,784.56/150.53
  6. Step 6: Final answer
    x = 177.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.