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Finding the Fourth Proportional to 235.97, 354 and 114.20

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Solution

The fourth proportional to 235.97, 354 and 114.20 is: 171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.97 : 354 = 114.20 : x
  2. Step 2: Convert to fraction form
    235.97/354 = 114.20/x
  3. Step 3: Cross multiply
    235.97x = 354 × 114.20
  4. Step 4: Simplify right side
    235.97x = 40,426.80
  5. Step 5: Solve for x
    x = 40,426.80/235.97
  6. Step 6: Final answer
    x = 171.32

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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.