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Finding the Fourth Proportional to 235.94, 354.32 and 114.44

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Solution

The fourth proportional to 235.94, 354.32 and 114.44 is: 171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.94 : 354.32 = 114.44 : x
  2. Step 2: Convert to fraction form
    235.94/354.32 = 114.44/x
  3. Step 3: Cross multiply
    235.94x = 354.32 × 114.44
  4. Step 4: Simplify right side
    235.94x = 40,549.55
  5. Step 5: Solve for x
    x = 40,549.55/235.94
  6. Step 6: Final answer
    x = 171.86

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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.