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Finding the Fourth Proportional to 235.41, 353.19 and 73.09

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Solution

The fourth proportional to 235.41, 353.19 and 73.09 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 353.19 = 73.09 : x
  2. Step 2: Convert to fraction form
    235.41/353.19 = 73.09/x
  3. Step 3: Cross multiply
    235.41x = 353.19 × 73.09
  4. Step 4: Simplify right side
    235.41x = 25,814.26
  5. Step 5: Solve for x
    x = 25,814.26/235.41
  6. Step 6: Final answer
    x = 109.66

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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.