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Finding the Fourth Proportional to 235.98, 354.14 and 114.31

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Solution

The fourth proportional to 235.98, 354.14 and 114.31 is: 171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.98 : 354.14 = 114.31 : x
  2. Step 2: Convert to fraction form
    235.98/354.14 = 114.31/x
  3. Step 3: Cross multiply
    235.98x = 354.14 × 114.31
  4. Step 4: Simplify right side
    235.98x = 40,481.74
  5. Step 5: Solve for x
    x = 40,481.74/235.98
  6. Step 6: Final answer
    x = 171.55

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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.