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Finding the Fourth Proportional to 293.16, 439.26 and 126.26

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Solution

The fourth proportional to 293.16, 439.26 and 126.26 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 439.26 = 126.26 : x
  2. Step 2: Convert to fraction form
    293.16/439.26 = 126.26/x
  3. Step 3: Cross multiply
    293.16x = 439.26 × 126.26
  4. Step 4: Simplify right side
    293.16x = 55,458.77
  5. Step 5: Solve for x
    x = 55,458.77/293.16
  6. Step 6: Final answer
    x = 189.18

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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.