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Finding the Fourth Proportional to 213.41, 319.56 and 177.23

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Solution

The fourth proportional to 213.41, 319.56 and 177.23 is: 265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 319.56 = 177.23 : x
  2. Step 2: Convert to fraction form
    213.41/319.56 = 177.23/x
  3. Step 3: Cross multiply
    213.41x = 319.56 × 177.23
  4. Step 4: Simplify right side
    213.41x = 56,634.02
  5. Step 5: Solve for x
    x = 56,634.02/213.41
  6. Step 6: Final answer
    x = 265.38

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