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Finding the Fourth Proportional to 329.04, 493.38 and 192.12

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Solution

The fourth proportional to 329.04, 493.38 and 192.12 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.04 : 493.38 = 192.12 : x
  2. Step 2: Convert to fraction form
    329.04/493.38 = 192.12/x
  3. Step 3: Cross multiply
    329.04x = 493.38 × 192.12
  4. Step 4: Simplify right side
    329.04x = 94,788.17
  5. Step 5: Solve for x
    x = 94,788.17/329.04
  6. Step 6: Final answer
    x = 288.07

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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.