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Finding the Fourth Proportional to 151.04, 224.96 and 149.44

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Solution

The fourth proportional to 151.04, 224.96 and 149.44 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.04 : 224.96 = 149.44 : x
  2. Step 2: Convert to fraction form
    151.04/224.96 = 149.44/x
  3. Step 3: Cross multiply
    151.04x = 224.96 × 149.44
  4. Step 4: Simplify right side
    151.04x = 33,618.02
  5. Step 5: Solve for x
    x = 33,618.02/151.04
  6. Step 6: Final answer
    x = 222.58

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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.