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Finding the Fourth Proportional to 269.90, 372.21 and 186.96

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Solution

The fourth proportional to 269.90, 372.21 and 186.96 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 372.21 = 186.96 : x
  2. Step 2: Convert to fraction form
    269.90/372.21 = 186.96/x
  3. Step 3: Cross multiply
    269.90x = 372.21 × 186.96
  4. Step 4: Simplify right side
    269.90x = 69,588.38
  5. Step 5: Solve for x
    x = 69,588.38/269.90
  6. Step 6: Final answer
    x = 257.84

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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.