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Finding the Fourth Proportional to 213.94, 295.26 and 158.59

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Solution

The fourth proportional to 213.94, 295.26 and 158.59 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 295.26 = 158.59 : x
  2. Step 2: Convert to fraction form
    213.94/295.26 = 158.59/x
  3. Step 3: Cross multiply
    213.94x = 295.26 × 158.59
  4. Step 4: Simplify right side
    213.94x = 46,823.81
  5. Step 5: Solve for x
    x = 46,823.81/213.94
  6. Step 6: Final answer
    x = 218.87

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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.