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Finding the Fourth Proportional to 232.45, 348.47 and 180.81

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Solution

The fourth proportional to 232.45, 348.47 and 180.81 is: 271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.45 : 348.47 = 180.81 : x
  2. Step 2: Convert to fraction form
    232.45/348.47 = 180.81/x
  3. Step 3: Cross multiply
    232.45x = 348.47 × 180.81
  4. Step 4: Simplify right side
    232.45x = 63,006.63
  5. Step 5: Solve for x
    x = 63,006.63/232.45
  6. Step 6: Final answer
    x = 271.06

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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.