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Finding the Fourth Proportional to 232.58, 348.76 and 116.95

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Solution

The fourth proportional to 232.58, 348.76 and 116.95 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.58 : 348.76 = 116.95 : x
  2. Step 2: Convert to fraction form
    232.58/348.76 = 116.95/x
  3. Step 3: Cross multiply
    232.58x = 348.76 × 116.95
  4. Step 4: Simplify right side
    232.58x = 40,786.76
  5. Step 5: Solve for x
    x = 40,786.76/232.58
  6. Step 6: Final answer
    x = 175.37

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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.