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Finding the Fourth Proportional to 213.13, 293.97 and 157.87

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Solution

The fourth proportional to 213.13, 293.97 and 157.87 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.13 : 293.97 = 157.87 : x
  2. Step 2: Convert to fraction form
    213.13/293.97 = 157.87/x
  3. Step 3: Cross multiply
    213.13x = 293.97 × 157.87
  4. Step 4: Simplify right side
    213.13x = 46,409.04
  5. Step 5: Solve for x
    x = 46,409.04/213.13
  6. Step 6: Final answer
    x = 217.75

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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.