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Finding the Fourth Proportional to 329.24, 493.86 and 175.16

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Solution

The fourth proportional to 329.24, 493.86 and 175.16 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 493.86 = 175.16 : x
  2. Step 2: Convert to fraction form
    329.24/493.86 = 175.16/x
  3. Step 3: Cross multiply
    329.24x = 493.86 × 175.16
  4. Step 4: Simplify right side
    329.24x = 86,504.52
  5. Step 5: Solve for x
    x = 86,504.52/329.24
  6. Step 6: Final answer
    x = 262.74

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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.