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Finding the Fourth Proportional to 151.42, 226.05 and 149.88

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Solution

The fourth proportional to 151.42, 226.05 and 149.88 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.42 : 226.05 = 149.88 : x
  2. Step 2: Convert to fraction form
    151.42/226.05 = 149.88/x
  3. Step 3: Cross multiply
    151.42x = 226.05 × 149.88
  4. Step 4: Simplify right side
    151.42x = 33,880.37
  5. Step 5: Solve for x
    x = 33,880.37/151.42
  6. Step 6: Final answer
    x = 223.75

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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.