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Finding the Fourth Proportional to 329.76, 455.01 and 189.86

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Solution

The fourth proportional to 329.76, 455.01 and 189.86 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 455.01 = 189.86 : x
  2. Step 2: Convert to fraction form
    329.76/455.01 = 189.86/x
  3. Step 3: Cross multiply
    329.76x = 455.01 × 189.86
  4. Step 4: Simplify right side
    329.76x = 86,385.21
  5. Step 5: Solve for x
    x = 86,385.21/329.76
  6. Step 6: Final answer
    x = 261.96

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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.