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Finding the Fourth Proportional to 232.53, 349.16 and 189.26

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Solution

The fourth proportional to 232.53, 349.16 and 189.26 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 349.16 = 189.26 : x
  2. Step 2: Convert to fraction form
    232.53/349.16 = 189.26/x
  3. Step 3: Cross multiply
    232.53x = 349.16 × 189.26
  4. Step 4: Simplify right side
    232.53x = 66,082.02
  5. Step 5: Solve for x
    x = 66,082.02/232.53
  6. Step 6: Final answer
    x = 284.19

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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.