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Finding the Fourth Proportional to 232.72, 348.16 and 205.36

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Solution

The fourth proportional to 232.72, 348.16 and 205.36 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 348.16 = 205.36 : x
  2. Step 2: Convert to fraction form
    232.72/348.16 = 205.36/x
  3. Step 3: Cross multiply
    232.72x = 348.16 × 205.36
  4. Step 4: Simplify right side
    232.72x = 71,498.14
  5. Step 5: Solve for x
    x = 71,498.14/232.72
  6. Step 6: Final answer
    x = 307.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.