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Finding the Fourth Proportional to 329.88, 495.08 and 175.85

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Solution

The fourth proportional to 329.88, 495.08 and 175.85 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.88 : 495.08 = 175.85 : x
  2. Step 2: Convert to fraction form
    329.88/495.08 = 175.85/x
  3. Step 3: Cross multiply
    329.88x = 495.08 × 175.85
  4. Step 4: Simplify right side
    329.88x = 87,058.98
  5. Step 5: Solve for x
    x = 87,058.98/329.88
  6. Step 6: Final answer
    x = 263.91

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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.