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Finding the Fourth Proportional to 149.73, 224.43 and 77.50

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Solution

The fourth proportional to 149.73, 224.43 and 77.50 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.73 : 224.43 = 77.50 : x
  2. Step 2: Convert to fraction form
    149.73/224.43 = 77.50/x
  3. Step 3: Cross multiply
    149.73x = 224.43 × 77.50
  4. Step 4: Simplify right side
    149.73x = 17,393.33
  5. Step 5: Solve for x
    x = 17,393.33/149.73
  6. Step 6: Final answer
    x = 116.16

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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.