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Finding the Fourth Proportional to 233.20, 349.29 and 192.16

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Solution

The fourth proportional to 233.20, 349.29 and 192.16 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 349.29 = 192.16 : x
  2. Step 2: Convert to fraction form
    233.20/349.29 = 192.16/x
  3. Step 3: Cross multiply
    233.20x = 349.29 × 192.16
  4. Step 4: Simplify right side
    233.20x = 67,119.57
  5. Step 5: Solve for x
    x = 67,119.57/233.20
  6. Step 6: Final answer
    x = 287.82

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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.