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Finding the Fourth Proportional to 165.59, 248.41 and 114.25

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Solution

The fourth proportional to 165.59, 248.41 and 114.25 is: 171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.59 : 248.41 = 114.25 : x
  2. Step 2: Convert to fraction form
    165.59/248.41 = 114.25/x
  3. Step 3: Cross multiply
    165.59x = 248.41 × 114.25
  4. Step 4: Simplify right side
    165.59x = 28,380.84
  5. Step 5: Solve for x
    x = 28,380.84/165.59
  6. Step 6: Final answer
    x = 171.40

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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.