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Finding the Fourth Proportional to 217.86, 300.33 and 186.63

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Solution

The fourth proportional to 217.86, 300.33 and 186.63 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 300.33 = 186.63 : x
  2. Step 2: Convert to fraction form
    217.86/300.33 = 186.63/x
  3. Step 3: Cross multiply
    217.86x = 300.33 × 186.63
  4. Step 4: Simplify right side
    217.86x = 56,050.59
  5. Step 5: Solve for x
    x = 56,050.59/217.86
  6. Step 6: Final answer
    x = 257.28

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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.