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Finding the Fourth Proportional to 329.07, 493.74 and 192.11

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Solution

The fourth proportional to 329.07, 493.74 and 192.11 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.07 : 493.74 = 192.11 : x
  2. Step 2: Convert to fraction form
    329.07/493.74 = 192.11/x
  3. Step 3: Cross multiply
    329.07x = 493.74 × 192.11
  4. Step 4: Simplify right side
    329.07x = 94,853.79
  5. Step 5: Solve for x
    x = 94,853.79/329.07
  6. Step 6: Final answer
    x = 288.25

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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.