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Finding the Fourth Proportional to 235.96, 353.64 and 138.26

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Solution

The fourth proportional to 235.96, 353.64 and 138.26 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 353.64 = 138.26 : x
  2. Step 2: Convert to fraction form
    235.96/353.64 = 138.26/x
  3. Step 3: Cross multiply
    235.96x = 353.64 × 138.26
  4. Step 4: Simplify right side
    235.96x = 48,894.27
  5. Step 5: Solve for x
    x = 48,894.27/235.96
  6. Step 6: Final answer
    x = 207.21

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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.