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Finding the Fourth Proportional to 293.64, 440.33 and 120.18

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Solution

The fourth proportional to 293.64, 440.33 and 120.18 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 440.33 = 120.18 : x
  2. Step 2: Convert to fraction form
    293.64/440.33 = 120.18/x
  3. Step 3: Cross multiply
    293.64x = 440.33 × 120.18
  4. Step 4: Simplify right side
    293.64x = 52,918.86
  5. Step 5: Solve for x
    x = 52,918.86/293.64
  6. Step 6: Final answer
    x = 180.22

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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.