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Finding the Fourth Proportional to 213.90, 295.21 and 140.32

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Solution

The fourth proportional to 213.90, 295.21 and 140.32 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 295.21 = 140.32 : x
  2. Step 2: Convert to fraction form
    213.90/295.21 = 140.32/x
  3. Step 3: Cross multiply
    213.90x = 295.21 × 140.32
  4. Step 4: Simplify right side
    213.90x = 41,423.87
  5. Step 5: Solve for x
    x = 41,423.87/213.90
  6. Step 6: Final answer
    x = 193.66

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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.