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Finding the Fourth Proportional to 243.08, 364.20 and 114.56

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Solution

The fourth proportional to 243.08, 364.20 and 114.56 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.08 : 364.20 = 114.56 : x
  2. Step 2: Convert to fraction form
    243.08/364.20 = 114.56/x
  3. Step 3: Cross multiply
    243.08x = 364.20 × 114.56
  4. Step 4: Simplify right side
    243.08x = 41,722.75
  5. Step 5: Solve for x
    x = 41,722.75/243.08
  6. Step 6: Final answer
    x = 171.64

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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.