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Finding the Fourth Proportional to 213.72, 295.10 and 159.05

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Solution

The fourth proportional to 213.72, 295.10 and 159.05 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.72 : 295.10 = 159.05 : x
  2. Step 2: Convert to fraction form
    213.72/295.10 = 159.05/x
  3. Step 3: Cross multiply
    213.72x = 295.10 × 159.05
  4. Step 4: Simplify right side
    213.72x = 46,934.58
  5. Step 5: Solve for x
    x = 46,934.58/213.72
  6. Step 6: Final answer
    x = 219.61

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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.