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Finding the Fourth Proportional to 232.37, 348.65 and 180.93

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Solution

The fourth proportional to 232.37, 348.65 and 180.93 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.37 : 348.65 = 180.93 : x
  2. Step 2: Convert to fraction form
    232.37/348.65 = 180.93/x
  3. Step 3: Cross multiply
    232.37x = 348.65 × 180.93
  4. Step 4: Simplify right side
    232.37x = 63,080.34
  5. Step 5: Solve for x
    x = 63,080.34/232.37
  6. Step 6: Final answer
    x = 271.47

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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.