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Finding the Fourth Proportional to 149.82, 224.76 and 77.64

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Solution

The fourth proportional to 149.82, 224.76 and 77.64 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 224.76 = 77.64 : x
  2. Step 2: Convert to fraction form
    149.82/224.76 = 77.64/x
  3. Step 3: Cross multiply
    149.82x = 224.76 × 77.64
  4. Step 4: Simplify right side
    149.82x = 17,450.37
  5. Step 5: Solve for x
    x = 17,450.37/149.82
  6. Step 6: Final answer
    x = 116.48

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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.