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Finding the Fourth Proportional to 235.68, 353.76 and 167.04

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Solution

The fourth proportional to 235.68, 353.76 and 167.04 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 353.76 = 167.04 : x
  2. Step 2: Convert to fraction form
    235.68/353.76 = 167.04/x
  3. Step 3: Cross multiply
    235.68x = 353.76 × 167.04
  4. Step 4: Simplify right side
    235.68x = 59,092.07
  5. Step 5: Solve for x
    x = 59,092.07/235.68
  6. Step 6: Final answer
    x = 250.73

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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.