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Finding the Fourth Proportional to 269.86, 372.32 and 186.98

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Solution

The fourth proportional to 269.86, 372.32 and 186.98 is: 257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 372.32 = 186.98 : x
  2. Step 2: Convert to fraction form
    269.86/372.32 = 186.98/x
  3. Step 3: Cross multiply
    269.86x = 372.32 × 186.98
  4. Step 4: Simplify right side
    269.86x = 69,616.39
  5. Step 5: Solve for x
    x = 69,616.39/269.86
  6. Step 6: Final answer
    x = 257.97

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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.