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Finding the Fourth Proportional to 309.39, 463.84 and 114.27

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Solution

The fourth proportional to 309.39, 463.84 and 114.27 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.39 : 463.84 = 114.27 : x
  2. Step 2: Convert to fraction form
    309.39/463.84 = 114.27/x
  3. Step 3: Cross multiply
    309.39x = 463.84 × 114.27
  4. Step 4: Simplify right side
    309.39x = 53,003.36
  5. Step 5: Solve for x
    x = 53,003.36/309.39
  6. Step 6: Final answer
    x = 171.31

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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.