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Finding the Fourth Proportional to 232.06, 347.82 and 135.58

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Solution

The fourth proportional to 232.06, 347.82 and 135.58 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 347.82 = 135.58 : x
  2. Step 2: Convert to fraction form
    232.06/347.82 = 135.58/x
  3. Step 3: Cross multiply
    232.06x = 347.82 × 135.58
  4. Step 4: Simplify right side
    232.06x = 47,157.44
  5. Step 5: Solve for x
    x = 47,157.44/232.06
  6. Step 6: Final answer
    x = 203.21

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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.