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Finding the Fourth Proportional to 293.27, 440.05 and 120.07

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Solution

The fourth proportional to 293.27, 440.05 and 120.07 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 440.05 = 120.07 : x
  2. Step 2: Convert to fraction form
    293.27/440.05 = 120.07/x
  3. Step 3: Cross multiply
    293.27x = 440.05 × 120.07
  4. Step 4: Simplify right side
    293.27x = 52,834.60
  5. Step 5: Solve for x
    x = 52,834.60/293.27
  6. Step 6: Final answer
    x = 180.16

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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.