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Finding the Fourth Proportional to 219.86, 329.79 and 176.33

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Solution

The fourth proportional to 219.86, 329.79 and 176.33 is: 264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 329.79 = 176.33 : x
  2. Step 2: Convert to fraction form
    219.86/329.79 = 176.33/x
  3. Step 3: Cross multiply
    219.86x = 329.79 × 176.33
  4. Step 4: Simplify right side
    219.86x = 58,150.22
  5. Step 5: Solve for x
    x = 58,150.22/219.86
  6. Step 6: Final answer
    x = 264.49

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Why These Related Problems?

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