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Finding the Fourth Proportional to 235.91, 353.57 and 114

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Solution

The fourth proportional to 235.91, 353.57 and 114 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.91 : 353.57 = 114 : x
  2. Step 2: Convert to fraction form
    235.91/353.57 = 114/x
  3. Step 3: Cross multiply
    235.91x = 353.57 × 114
  4. Step 4: Simplify right side
    235.91x = 40,306.41
  5. Step 5: Solve for x
    x = 40,306.41/235.91
  6. Step 6: Final answer
    x = 170.86

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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.