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Finding the Fourth Proportional to 243.94, 365.77 and 114.02

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Solution

The fourth proportional to 243.94, 365.77 and 114.02 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 365.77 = 114.02 : x
  2. Step 2: Convert to fraction form
    243.94/365.77 = 114.02/x
  3. Step 3: Cross multiply
    243.94x = 365.77 × 114.02
  4. Step 4: Simplify right side
    243.94x = 41,705.10
  5. Step 5: Solve for x
    x = 41,705.10/243.94
  6. Step 6: Final answer
    x = 170.96

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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.