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Finding the Fourth Proportional to 235.67, 353.71 and 126.07

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Solution

The fourth proportional to 235.67, 353.71 and 126.07 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.67 : 353.71 = 126.07 : x
  2. Step 2: Convert to fraction form
    235.67/353.71 = 126.07/x
  3. Step 3: Cross multiply
    235.67x = 353.71 × 126.07
  4. Step 4: Simplify right side
    235.67x = 44,590.78
  5. Step 5: Solve for x
    x = 44,590.78/235.67
  6. Step 6: Final answer
    x = 189.21

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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.