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Finding the Fourth Proportional to 269.78, 372.21 and 166.34

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Solution

The fourth proportional to 269.78, 372.21 and 166.34 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 372.21 = 166.34 : x
  2. Step 2: Convert to fraction form
    269.78/372.21 = 166.34/x
  3. Step 3: Cross multiply
    269.78x = 372.21 × 166.34
  4. Step 4: Simplify right side
    269.78x = 61,913.41
  5. Step 5: Solve for x
    x = 61,913.41/269.78
  6. Step 6: Final answer
    x = 229.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.