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Finding the Fourth Proportional to 151.06, 224.66 and 149.44

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Solution

The fourth proportional to 151.06, 224.66 and 149.44 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.06 : 224.66 = 149.44 : x
  2. Step 2: Convert to fraction form
    151.06/224.66 = 149.44/x
  3. Step 3: Cross multiply
    151.06x = 224.66 × 149.44
  4. Step 4: Simplify right side
    151.06x = 33,573.19
  5. Step 5: Solve for x
    x = 33,573.19/151.06
  6. Step 6: Final answer
    x = 222.25

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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.