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Finding the Fourth Proportional to 232.08, 347.84 and 95.05

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Solution

The fourth proportional to 232.08, 347.84 and 95.05 is: 142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 347.84 = 95.05 : x
  2. Step 2: Convert to fraction form
    232.08/347.84 = 95.05/x
  3. Step 3: Cross multiply
    232.08x = 347.84 × 95.05
  4. Step 4: Simplify right side
    232.08x = 33,062.19
  5. Step 5: Solve for x
    x = 33,062.19/232.08
  6. Step 6: Final answer
    x = 142.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.