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Finding the Fourth Proportional to 293.76, 440.55 and 149.46

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Solution

The fourth proportional to 293.76, 440.55 and 149.46 is: 224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 440.55 = 149.46 : x
  2. Step 2: Convert to fraction form
    293.76/440.55 = 149.46/x
  3. Step 3: Cross multiply
    293.76x = 440.55 × 149.46
  4. Step 4: Simplify right side
    293.76x = 65,844.60
  5. Step 5: Solve for x
    x = 65,844.60/293.76
  6. Step 6: Final answer
    x = 224.14

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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.