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Finding the Fourth Proportional to 232.51, 348.24 and 180.74

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Solution

The fourth proportional to 232.51, 348.24 and 180.74 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.51 : 348.24 = 180.74 : x
  2. Step 2: Convert to fraction form
    232.51/348.24 = 180.74/x
  3. Step 3: Cross multiply
    232.51x = 348.24 × 180.74
  4. Step 4: Simplify right side
    232.51x = 62,940.90
  5. Step 5: Solve for x
    x = 62,940.90/232.51
  6. Step 6: Final answer
    x = 270.70

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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.