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Finding the Fourth Proportional to 232.53, 349.17 and 189.24

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Solution

The fourth proportional to 232.53, 349.17 and 189.24 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 349.17 = 189.24 : x
  2. Step 2: Convert to fraction form
    232.53/349.17 = 189.24/x
  3. Step 3: Cross multiply
    232.53x = 349.17 × 189.24
  4. Step 4: Simplify right side
    232.53x = 66,076.93
  5. Step 5: Solve for x
    x = 66,076.93/232.53
  6. Step 6: Final answer
    x = 284.17

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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.