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Finding the Fourth Proportional to 309.82, 463.94 and 179.48

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Solution

The fourth proportional to 309.82, 463.94 and 179.48 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.82 : 463.94 = 179.48 : x
  2. Step 2: Convert to fraction form
    309.82/463.94 = 179.48/x
  3. Step 3: Cross multiply
    309.82x = 463.94 × 179.48
  4. Step 4: Simplify right side
    309.82x = 83,267.95
  5. Step 5: Solve for x
    x = 83,267.95/309.82
  6. Step 6: Final answer
    x = 268.76

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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.