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Finding the Fourth Proportional to 293.84, 440.97 and 149.60

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Solution

The fourth proportional to 293.84, 440.97 and 149.60 is: 224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 440.97 = 149.60 : x
  2. Step 2: Convert to fraction form
    293.84/440.97 = 149.60/x
  3. Step 3: Cross multiply
    293.84x = 440.97 × 149.60
  4. Step 4: Simplify right side
    293.84x = 65,969.11
  5. Step 5: Solve for x
    x = 65,969.11/293.84
  6. Step 6: Final answer
    x = 224.51

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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.