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Finding the Fourth Proportional to 293.54, 440.28 and 120.16

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Solution

The fourth proportional to 293.54, 440.28 and 120.16 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.54 : 440.28 = 120.16 : x
  2. Step 2: Convert to fraction form
    293.54/440.28 = 120.16/x
  3. Step 3: Cross multiply
    293.54x = 440.28 × 120.16
  4. Step 4: Simplify right side
    293.54x = 52,903.09
  5. Step 5: Solve for x
    x = 52,903.09/293.54
  6. Step 6: Final answer
    x = 180.23

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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.