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Finding the Fourth Proportional to 329.79, 455.14 and 189.95

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Solution

The fourth proportional to 329.79, 455.14 and 189.95 is: 262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.79 : 455.14 = 189.95 : x
  2. Step 2: Convert to fraction form
    329.79/455.14 = 189.95/x
  3. Step 3: Cross multiply
    329.79x = 455.14 × 189.95
  4. Step 4: Simplify right side
    329.79x = 86,450.74
  5. Step 5: Solve for x
    x = 86,450.74/329.79
  6. Step 6: Final answer
    x = 262.14

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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.