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Finding the Fourth Proportional to 213.02, 293.96 and 119.77

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Solution

The fourth proportional to 213.02, 293.96 and 119.77 is: 165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 293.96 = 119.77 : x
  2. Step 2: Convert to fraction form
    213.02/293.96 = 119.77/x
  3. Step 3: Cross multiply
    213.02x = 293.96 × 119.77
  4. Step 4: Simplify right side
    213.02x = 35,206.48
  5. Step 5: Solve for x
    x = 35,206.48/213.02
  6. Step 6: Final answer
    x = 165.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.