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Finding the Fourth Proportional to 213.09, 319.64 and 177.27

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Solution

The fourth proportional to 213.09, 319.64 and 177.27 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 319.64 = 177.27 : x
  2. Step 2: Convert to fraction form
    213.09/319.64 = 177.27/x
  3. Step 3: Cross multiply
    213.09x = 319.64 × 177.27
  4. Step 4: Simplify right side
    213.09x = 56,662.58
  5. Step 5: Solve for x
    x = 56,662.58/213.09
  6. Step 6: Final answer
    x = 265.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.