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Finding the Fourth Proportional to 309.14, 463.17 and 164.69

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Solution

The fourth proportional to 309.14, 463.17 and 164.69 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 463.17 = 164.69 : x
  2. Step 2: Convert to fraction form
    309.14/463.17 = 164.69/x
  3. Step 3: Cross multiply
    309.14x = 463.17 × 164.69
  4. Step 4: Simplify right side
    309.14x = 76,279.47
  5. Step 5: Solve for x
    x = 76,279.47/309.14
  6. Step 6: Final answer
    x = 246.75

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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.