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Finding the Fourth Proportional to 309.68, 463.90 and 179.27

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Solution

The fourth proportional to 309.68, 463.90 and 179.27 is: 268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.68 : 463.90 = 179.27 : x
  2. Step 2: Convert to fraction form
    309.68/463.90 = 179.27/x
  3. Step 3: Cross multiply
    309.68x = 463.90 × 179.27
  4. Step 4: Simplify right side
    309.68x = 83,163.35
  5. Step 5: Solve for x
    x = 83,163.35/309.68
  6. Step 6: Final answer
    x = 268.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.