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Finding the Fourth Proportional to 309.19, 463.91 and 114.25

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Solution

The fourth proportional to 309.19, 463.91 and 114.25 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.19 : 463.91 = 114.25 : x
  2. Step 2: Convert to fraction form
    309.19/463.91 = 114.25/x
  3. Step 3: Cross multiply
    309.19x = 463.91 × 114.25
  4. Step 4: Simplify right side
    309.19x = 53,002.31
  5. Step 5: Solve for x
    x = 53,002.31/309.19
  6. Step 6: Final answer
    x = 171.42

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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.