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Finding the Fourth Proportional to 235.89, 353.82 and 104.10

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Solution

The fourth proportional to 235.89, 353.82 and 104.10 is: 156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.89 : 353.82 = 104.10 : x
  2. Step 2: Convert to fraction form
    235.89/353.82 = 104.10/x
  3. Step 3: Cross multiply
    235.89x = 353.82 × 104.10
  4. Step 4: Simplify right side
    235.89x = 36,832.66
  5. Step 5: Solve for x
    x = 36,832.66/235.89
  6. Step 6: Final answer
    x = 156.14

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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.