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Finding the Fourth Proportional to 309.13, 463.79 and 164.81

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Solution

The fourth proportional to 309.13, 463.79 and 164.81 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.13 : 463.79 = 164.81 : x
  2. Step 2: Convert to fraction form
    309.13/463.79 = 164.81/x
  3. Step 3: Cross multiply
    309.13x = 463.79 × 164.81
  4. Step 4: Simplify right side
    309.13x = 76,438.80
  5. Step 5: Solve for x
    x = 76,438.80/309.13
  6. Step 6: Final answer
    x = 247.27

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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.